CN106157313A - A kind of lines drawing with coloured chalk artistic style analogy method - Google Patents

A kind of lines drawing with coloured chalk artistic style analogy method Download PDF

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CN106157313A
CN106157313A CN201610546506.1A CN201610546506A CN106157313A CN 106157313 A CN106157313 A CN 106157313A CN 201610546506 A CN201610546506 A CN 201610546506A CN 106157313 A CN106157313 A CN 106157313A
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represent
image
lines
pixel
coloured chalk
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钱文华
徐丹
官铮
岳昆
张学杰
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Yunnan University YNU
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T11/002D [Two Dimensional] image generation
    • G06T11/001Texturing; Colouring; Generation of texture or colour
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T15/003D [Three Dimensional] image rendering
    • G06T15/02Non-photorealistic rendering
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2207/00Indexing scheme for image analysis or image enhancement
    • G06T2207/20Special algorithmic details
    • G06T2207/20172Image enhancement details
    • G06T2207/20192Edge enhancement; Edge preservation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T2207/00Indexing scheme for image analysis or image enhancement
    • G06T2207/20Special algorithmic details
    • G06T2207/20212Image combination
    • G06T2207/20221Image fusion; Image merging

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Graphics (AREA)
  • Image Processing (AREA)

Abstract

The present invention relates to a kind of lines drawing with coloured chalk artistic effect analogy method based on feeling of unreality, belong to areas of information technology.This method for drafting is: inputs a width target image as foreground image, foreground image is taken color, asks for the half-tone information of foreground image;Based on DoG filtering method, gray level image is carried out lines extraction;Then, use linear diffusion filter to be diffused processing to the lines image extracted, obtain lines diffusion effect;Diffusion result images is strengthened, the minutia of prominent lines;Again, input the background images such as blackboard material, enhanced for lines image and background image are carried out image co-registration, it is thus achieved that final lines drawing with coloured chalk artistic effect image;It is an advantage of the current invention that: can pass through computer simulation lines drawing with coloured chalk artistic effect, applied range, processing speed is fast, and motility is good, wide accommodation, is a kind of useful supplement of non-photorealistic rendering technology.

Description

A kind of lines drawing with coloured chalk artistic style analogy method
Technical field
The invention discloses a kind of lines drawing with coloured chalk artistic style analogy method based on feeling of unreality, relate to computer graphic In shape image procossing lines highlight, the emulation of drawing with coloured chalk artistic effect and method for drafting, belong to areas of information technology.
Background technology
In recent years, non-photorealistic rendering (NPR:Non Photorealistic Rendering) technology becomes computer graphic The study hotspot of shape.Non-photorealistic rendering is set up on the basis of human perception, combines drawing rule and the science of art Technical method, be the useful supplement of computer graphics.This technology mainly by computer simulation generate west or in State's distinctive artistic style effect, such as simulation have the image of the different hand drawing style such as cartoon, oil painting, watercolor, pencil drawing.It Feature be to show the art features of figure, simulation artistic work, even can show the subjective emotion information of people, The simulation of natural art style, the enhancing of image information, the generation of animation, the artistic expression of data and medical science, architectonics, religion Educate etc. aspect and all play the most important effect.Additionally, non-photorealistic rendering adapts to image content information, ignore secondary Want details, effectively the attention of user is attracted to crucial or important region;Can save substantial amounts of human and material resources, time Between complete the intention of user, it is high to draw efficiency, the making of such as animation, the process such as generation of artistic effect, films and television programs, In the fields such as sight spot roaming, advertising, Entertainment, network transmission, play the most important role.
Non-photorealistic rendering technology stresses to simulate the artistic work with various different-style, such as oil painting, watercolor, pen The artistic style works such as picture, pencil drawing, abstract painting, graphical Work person also to Chinese distinctive Chinese ink painting, Chinese calligraphy, in The artistic works such as state's paper-cut picture are simulated, but, the most either in west, still China all defines numerous Artistic style works, wherein the simulation for drawing with coloured chalk artistic effect is actually rare.
Drawing with coloured chalk is also referred to as street corner relief painting, in the street opaque and draws, and it is described as a kind of brand-new art by national geography magazine Form, it is the works created on the blackboard that adhesive force is stronger, on paper with special colored crayon, therefore also known as pastel, toner Draw.It is characterized in opaque, matt, is rubbed by hook wiping and smear, pure and fresh fine and smooth color effect bright and beautiful, abundant can be produced, can To show complex environment atmosphere, it is easy to grasp;Quality and the skin texture of creation object can also be portrayed in every possible way, do not have one Lattice.Additionally, modal drawing with coloured chalk is no more than some impromptu creation or the scribbles on blackboard, floor, in streets and lanes, we are Can see that various artists holds the impromptu creation of chalk, the works of those riots of color often make us acclaiming as the acme of perfection.
In technology known to non-photorealistic rendering, Wang Dong et al. uses the method for textures synthesis and Texture Transfer by static state Image rendering is the artistic effect (<Journal of System Simulation, 2010,22 (12): 2929-2933>) of pyrography style;Additionally, king East et al. use changeable weight control deformation and Texture Transfer method simulate calabash pyrography artistic style (< computer utility, 2010,30 (9): 2473-2478 >);The method that money Wenhua et al. uses background texture synthesis and deviation to map obtains pyrography Artistic style (<China's image graphics journal, 2013,18 (7): 836-843>);Cao Yi uses method based on image simulation to paint Zhi Liao Chinese ink painting artistic effect (<Jilin University's doctor's thesis, 2012>);Chen Zhao is ground for concrete Scenario Design Shape processes part and two modules of landform rendering with water and ink, devise enjoyable ink and wash drawing system (< Jilin University's Master's thesis, 2011 >);The architectural features such as face are studied by Meng et al., use deformation, database sharing to achieve figure portrait painting Paper-cut effect (<Jilin University's thesis for the doctorate, 2012>);Zhou Jie et al. uses parametric method to simulate random pin embroidery art Effect (<computer-aided design and graphics journal, 2014,26 (3): 436-444>);Chen Shengguo devises area of computer aided Artistic effect simulation process (<Chinese journal of computers, 2011,34 (3): 526-532>) is embroidered in random acupuncture;Zhong Qiuyue is from grid and stricture of vagina The style and features of the stylization two aspect simulation figure for shadow-play of reason pinup picture, devises shadow threedimensional model (< electronics with figure for shadow-play style University of Science and Technology's master's thesis, 2012 >);Huang Hua etc. (<patent CN200910023002.1>, 2009) are according to sketch and people The feature of eye vision, generates the artistic effect of sketch stylization;Li Yun sunset etc. (<patent CN2001110210312.1>, 2011) Disclose the generation method and system of a kind of computer sketch images;Dong Li newly discloses a kind of ink and wash painting style figure based on image As generating method (<patent CN201110208739.8>, 2011);Hao Wen discloses the three-dimensional wind of a kind of band characteristic curve stylization Lattice model feeling of unreality rendering intent (<patent CN201010541055.5>, 2011).Money Wenhua discloses a kind of based on non-real The artistic artistic illustration effect method for drafting (<patent CN201210135344.4>, 2012) of true feeling, afterwards, money Wenhua discloses one The light color effect method for drafting of pen based on feeling of unreality (<patent CN201210105833.5>, 2012).
The artistic effect analogy methods such as relatively well-known computer feeling of unreality ink, paper-cut, the present invention is with edge extracting Based on edge-diffusion, in conjunction with image fusion technology, a kind of drawing with coloured chalk based on feeling of unreality, that linear feature is master is proposed Artistic effect emulation mode.By literature search, have no that the disclosure identical with the present invention is reported.
Summary of the invention
It is an object of the invention to provide a kind of lines drawing with coloured chalk artistic effect analogy method, there are lines prominent, unglazed The features such as pool, meet lines, the feature of background in true drawing with coloured chalk artistic work, it is achieved process is simple, speed is fast, have more logical By property and generality.
Based on present invention edge extracting in digital image processing techniques, edge detail enhancement, image fusion technology, Main purpose is the artistic effect simulating and having lines drawing with coloured chalk, for the target image of input, gives coloured image Carry out the methods such as edge extracting, image diffusion, image filtering, it is proposed that be fused in blackboard background image by lines foreground image Method.
The present invention completes according to the following steps:
The present invention, based on non-photorealistic rendering technology, needs two width input pictures to realize final lines drawing with coloured chalk artistic effect figure Picture, wherein a width input natural image is as foreground image, is used for extracting lines, the linear feature of simulation drawing with coloured chalk;Another width Input is as background image, owing to drawing with coloured chalk is generally created in the materials such as blackboard, floor, wall, therefore can input another The images such as one width blackboard are as background image;The technological process of whole method for drafting is: first, in order to extract the edge of image, The foreground image of input is carried out monochrome information extraction, it is thus achieved that gray level image;Then, DoG wave filter is used to extract gray level image Marginal information;In order to simulate the hairy effect of drawing with coloured chalk lines, by image method of diffusion, image is diffused;Then, In order to highlight the details of lines, lines image is strengthened;Again, another width blackboard image is inputted as background image;? After, by through image enhaucament, there is the image of drawing with coloured chalk lines merge with blackboard background image, it is thus achieved that final lines drawing with coloured chalk Artistic effect image, specifically comprises the following steps that
(1) drawing with coloured chalk foreground image discolors
Foreground image will be inputtedI (x, y) be converted to gray level imageL(x, y):
In formula: (x, y) represent pixel coordinate position,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,,,Represent input foreground imageI (x , y) red, green, blue triple channel value.
(2) drawing with coloured chalk DoG lines extract
Ask for gray level imageL (x , y) gradient, along gradient direction use difference of Gaussian DoG wave filter be filtered, rightL (x , yAfter in), different pixel locations are filtered, accumulation filter response obtains accumulated valueF (x , y):
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,For right Gray level imageL (x , y) calculate gradient operation,f (x , y) represent Gaussian function wave filter, parameterTRepresent wave filter Size (),d (x , y) represent and seek local derviation process;
By accumulated valueF (x , y) along gradient direction integration, strengthen the seriality of lines, obtain integral result imageA (x ,y):
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,It is that standard deviation isOne-dimensional Gaussian function (), parametersControl detect lines smoothness (),d (x , y) represent and seek local derviation process;
By () and threshold valueCompare (), produce the lines image of black and white after binaryzationE (x , y):
(3) drawing with coloured chalk lines diffusion
Use diffusion filter to lines imageE (x , y) be diffused, user () radius size to line In bar image, pixel location isNeighborhood() be diffused, obtain lines diffusion result imagesS (x , y):
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel, Represent neighborhood weighting function,lRepresent that pixel location isPixel and surrounding neighbors pixel between coordinate distance,d (x , y) represent and seek local derviation process.
(4) drawing with coloured chalk lines strengthen
Lines are spread result imagesS (x , y) use coefficient,Carry out linear filtering, obtain filter result imageB (x , y):
In formula,Represent the coordinate position of pixel,Expression filter window size (),Represent windowIn Pixel number, parameterFor adjustment factorSize (),Represent that filter window size isBoxlike filtering The average of device,Represent that filter window size isThe variance of box filter,RepresentS (x , y) in filtering WindowThe average of middle pixel value;
Calculate lines diffusion imageS (x , y) and filter result imageB (x , y) difference, it is thus achieved that lines strengthen imageZ (x , y):
In formula, parametercControl lines strengthen degree ()。
(5) background image input
Choose the input picture of the materials such as tool coloured blackboard, wallH (x , y), as final lines drawing with coloured chalk art The background image of effect.
(6) drawing with coloured chalk image co-registration
To input pictureH (x , y) and lines enhancing imageZ (x , y) be overlapped, background image will be inputtedH (x ,y) it is transformed into LAB color space from rgb color space, merge the result images that drawing with coloured chalk lines strengthenZ (x , y) with defeated Enter background imageH (x , y) monochrome information, it is thus achieved that there is the gray level image of lines drawing with coloured chalk artistic styleP (x , y ):
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,Represent input background imageH (x , y) L * channel value in LAB color space;
In LAB color space, background image will be inputtedH (x , y) color-valuesIt is transferred to gray scale In drawing with coloured chalk artistic effect image:
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,Represent input pictureH (x , y) A channel and the value of channel B in LAB color space,Represent final lines drawing with coloured chalk artistic style image value of L, A, channel B in LAB color space, WillTriple channel value merges:
In formula,O (x , y) represent the lines drawing with coloured chalk style result images after merging, willO (x , y) from LAB color Space converts back rgb color space, it is thus achieved that final lines drawing with coloured chalk artistic effect imageO (x , y )。
It is an advantage of the current invention that:
1. utilize computer that input picture is processed, the lines drawing with coloured chalk artistic style effect of feeling of unreality, pin can be obtained To inputting different foreground images and background image, can obtain different lines drawing with coloured chalk artistic effects, lines extract and image Diffusion more conforms to the character of artwork of true drawing with coloured chalk works.
2. use DOG lines extracting method to obtain the lines of foreground image, and line information is carried out image diffusion and figure Image intensifying, simulates the crude characteristic of true drawing with coloured chalk artistic effect lines, improves the efficiency of algorithm simultaneously.
3. input different foreground image, simultaneously by the different texture map picture of input as background image, by foreground picture As the fusion with background image, improve motility, extend the creation subject of final lines drawing with coloured chalk artistic effect.
4. establish a kind of computer simulation feeling of unreality lines drawing with coloured chalk artistic effect method for drafting, meet true chalk Draw the feature of art, in films and television programs, game movie and advertising field, there is bigger potential demand, be feeling of unreality A kind of useful supplement of the different artistic effect of simulation.A kind of new drafting side is provided for the simulation of drawing with coloured chalk artistic work and drafting Method, also the computer simulation for other artistic effect provides strong theoretical basis and technical support.
Accompanying drawing explanation
Fig. 1 is the Technology Roadmap of the present invention.Including following six major part: drawing with coloured chalk foreground image discolors, chalk Draw the extraction of DoG lines, the diffusion of drawing with coloured chalk lines, drawing with coloured chalk lines strengthen, background image inputs and drawing with coloured chalk image co-registration.
Fig. 2 is the colored foreground image of input.
Fig. 3 is input picture to discolor the result images obtained through foreground image.
Fig. 4 is to extract, through DoG lines, the result images obtained.
Fig. 5 is foreground image to carry out lines spread the result images obtained.
Fig. 6 is the result images carrying out foreground image obtaining after lines enhancing.
Fig. 7 is the colored background image of input.
Fig. 8 is the result images after foreground image and background image merge.
Detailed description of the invention
Embodiment: the width static two dimensional image for input carries out the drafting of lines drawing with coloured chalk artistic style effect.
(1) drawing with coloured chalk foreground image discolors
Foreground image will be inputtedI (x, y) (such as Fig. 2) be converted to gray level imageL(x, y) (such as Fig. 3):
In formula: (x, y) represent pixel coordinate position,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,,,Represent input foreground imageI(x, y) red, green, blue triple channel value;
(2) drawing with coloured chalk DoG lines extract
Ask for gray level imageL(x, y) gradient, along gradient direction use difference of Gaussian DoG wave filter be filtered, rightL (x, yAfter in), different pixel locations are filtered, accumulation filter response obtains accumulated valueF(x, y):
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,For right Gray level imageL(x, y) calculate gradient operation,f(x, y) represent Gaussian function wave filter, parameterTRepresent wave filter Size (),d(x, y) represent and seek local derviation process;
By accumulated valueF(x, y) along gradient direction integration, strengthen the seriality of lines, obtain integral result imageA(x,y):
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,It is that standard deviation isOne-dimensional Gaussian function (), parametersControl detect lines smoothness (),d(x, y) represent and seek local derviation process;
By () and threshold valueCompare (), produce the lines image of black and white after binaryzationE (x, y) (such as Fig. 4):
(3) drawing with coloured chalk lines diffusion
Use diffusion filter to lines imageE(x, y) be diffused, user () radius size to line In bar image, pixel location isNeighborhood() be diffused, obtain lines diffusion result imagesS (x, y) (such as Fig. 5):
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel, Represent neighborhood weighting function,lRepresent that pixel location isPixel and surrounding neighbors pixel between coordinate distance,d (x, y) represent and seek local derviation process;
(4) drawing with coloured chalk lines strengthen
Lines are spread result imagesS(x, y) use coefficient,Carry out linear filtering, obtain filter result imageB (x, y) (such as Fig. 6)::
In formula,Represent the coordinate position of pixel,Expression filter window size (),Represent windowIn Pixel number, parameterFor adjustment factorSize (),Represent that filter window size isBoxlike filtering The average of device,Represent that filter window size isThe variance of box filter,RepresentS(x, y) at spectral window MouthfulThe average of middle pixel value;
Calculate lines diffusion imageS (x , y) and filter result imageB (x , y) difference, it is thus achieved that lines strengthen imageZ (x , y):
In formula, parametercControl lines strengthen degree ();
(5) background image input
Choose the input picture of the materials such as tool coloured blackboard, wallH (x , y) (such as Fig. 7), as final lines chalk Draw the background image of artistic effect;
(6) drawing with coloured chalk image co-registration
To input pictureH (x , y) and lines enhancing imageZ (x , y) be overlapped, background image will be inputtedH (x ,y) it is transformed into LAB color space from rgb color space, merge the result images that drawing with coloured chalk lines strengthenZ (x , y) with defeated Enter background imageH (x , y) monochrome information, it is thus achieved that there is the gray level image of lines drawing with coloured chalk artistic styleP (x , y ):
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,Represent input background imageH (x , y) L * channel value in LAB color space;
In LAB color space, background image will be inputtedH (x , y) color-valuesIt is transferred to gray scale In drawing with coloured chalk artistic effect image:
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,Represent input pictureH (x , y) A channel and the value of channel B in LAB color space,Represent final lines drawing with coloured chalk artistic style image value of L, A, channel B in LAB color space, WillTriple channel value merges:
In formula,O (x , y) represent the lines drawing with coloured chalk style result images after merging, willO (x , y) from LAB color Space converts back rgb color space, it is thus achieved that final lines drawing with coloured chalk artistic style imageO (x , y) (such as Fig. 8).

Claims (1)

1. a lines drawing with coloured chalk artistic style method for drafting based on feeling of unreality, it is characterised in that this method for drafting concrete Step is as follows:
(1) drawing with coloured chalk foreground image discolors
Foreground image will be inputtedI (x, y) be converted to gray level imageL(x, y):
In formula: (x, y) represent pixel coordinate position,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,,,Represent input foreground imageI (x , y) red, green, blue triple channel value;
(2) drawing with coloured chalk DoG lines extract
Ask for gray level imageL (x, y) gradient, along gradient direction use difference of Gaussian DoG wave filter be filtered, rightL (x, yAfter in), different pixel locations are filtered, accumulation filter response obtains accumulated valueF (x, y):
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,For right Gray level imageL (x, y) calculate gradient operation,f (x, y) represent Gaussian function wave filter, parameterTRepresent wave filter Size (),d (x, y) represent and seek local derviation process;
By accumulated valueF (x, y) along gradient direction integration, strengthen the seriality of lines, obtain integral result imageA (x,y):
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,It is that standard deviation isOne-dimensional Gaussian function (), parametersControl detect lines smoothness (),d (x , y) represent and seek local derviation process;
By () and threshold valueCompare (), produce the lines image of black and white after binaryzationE (x , y):
(3) drawing with coloured chalk lines diffusion
Use diffusion filter to lines imageE (x , y) be diffused, user () radius size to line In bar image, pixel location isNeighborhood() be diffused, obtain lines diffusion result imagesS (x , y):
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel, Represent neighborhood weighting function,lRepresent that pixel location isPixel and surrounding neighbors pixel between coordinate distance,d (x , y) represent and seek local derviation process;
(4) drawing with coloured chalk lines strengthen
Lines are spread result imagesS (x , y) use coefficient,Carry out linear filtering, obtain filter result imageB (x , y):
In formula,Represent the coordinate position of pixel,Expression filter window size (),Represent windowIn Pixel number, parameterFor adjustment factorSize (),Represent that filter window size isBoxlike filtering The average of device,Represent that filter window size isThe variance of box filter,RepresentS (x , y) in filtering WindowThe average of middle pixel value;
Calculate lines diffusion imageS (x , y) and filter result imageB (x , y) difference, it is thus achieved that lines strengthen imageZ (x , y):
In formula, parametercControl lines strengthen degree ();
(5) background image input
Choose the input picture of the materials such as tool coloured blackboard, wallH (x , y), as final lines drawing with coloured chalk art The background image of effect;
(6) drawing with coloured chalk image co-registration
To input pictureH (x , y) and lines enhancing imageZ (x , y) be overlapped, background image will be inputtedH (x ,y) it is transformed into LAB color space from rgb color space, merge the result images that drawing with coloured chalk lines strengthenZ (x , y) with defeated Enter background imageH (x , y) monochrome information, it is thus achieved that there is the gray level image of lines drawing with coloured chalk artistic styleP (x , y ):
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,Represent input background imageH (x , y) L * channel value in LAB color space;
In LAB color space, background image will be inputtedH (x , y) color-valuesIt is transferred to gray scale In drawing with coloured chalk artistic effect image:
In formula,Represent the coordinate position of pixel,xRepresent the abscissa of pixel,yRepresent the vertical coordinate of pixel,Represent input pictureH (x , y) A channel and the value of channel B in LAB color space,Represent final lines drawing with coloured chalk artistic style image value of L, A, channel B in LAB color space, WillTriple channel value merges:
In formula,O (x , y) represent the lines drawing with coloured chalk style result images after merging, willO (x , y) from LAB color Space converts back rgb color space, it is thus achieved that final lines drawing with coloured chalk artistic effect imageO (x , y )。
CN201610546506.1A 2016-07-13 2016-07-13 A kind of lines drawing with coloured chalk artistic style analogy method Pending CN106157313A (en)

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CN113763506A (en) * 2021-07-28 2021-12-07 北京印刷学院 Method for generating artistic stippling image with custom pixels
CN113781296A (en) * 2021-09-22 2021-12-10 亿图软件(湖南)有限公司 Image watercolor processing method and device, computer equipment and storage medium

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CN113781296B (en) * 2021-09-22 2024-05-28 亿图软件(湖南)有限公司 Image watercolor processing method, device, computer equipment and storage medium

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