CN105303594A - Collision rebound path display method and apparatus - Google Patents

Abstract

The invention discloses a collision rebound path display method and apparatus. The method comprises: obtaining initial data of a collision object before collision; obtaining an angle value alpha between a collision tilting surface and a preset plane, and an angle value beta between the collision object before collision and the preset plane; according to a formula of delta=pi+2*alpha-beta, determining an angle value delta between a rebound path of the collision object after collision and the preset plane; determining rebound data after collision through the initial data and the angle value between the rebound path of the collision object after collision and the preset plane; and according to the rebound data, displaying the rebound path of the collision object. According to the collision rebound path display method and apparatus provided by the invention, the collision rebound path is subjected to analog display with a trigonometric function method; and compared with the prior art of performing analog display with a vector method, the collision rebound path display method is simpler, more convenient and quicker.

Description

A kind of display packing of collision reaction path and device

Technical field

The present invention relates to the virtual display technique field of computer graphics, particularly relate to a kind of display packing and device of collision reaction path.

Background technology

Along with computer technology and its development in simulating reality, moving track calculation widespread use in computer simulation of object, in the process of carrying out physical motion simulation, often runs into and needs the path to object collision bounce-back to carry out simulative display.

Under desirable physical environment, suppose that collision time is extremely short, collision plane limitless is smooth, thus collision process does not rub, there is no energy loss, under this ideal conditions, the schematic diagram of simulative display is carried out as shown in Figure 1 to the movement locus of bead and irregular polygon frame collision rift.Generally use vector to carry out simulative display to this type of collision problem, use a benefit of vector to be do not need to consider Coordinate Problem, and directly just can carry out by vector calculation, but simulative display process is comparatively abstract, not easily understands.

Therefore, a kind of more simple and efficient display packing to collision reaction path and device is provided to be necessary.

Summary of the invention

The object of this invention is to provide a kind of display packing and device of collision reaction path, to carry out more simple and efficient simulative display to the path of the arbitrarily angled collision reaction in any inclined-plane.

For solving the problems of the technologies described above, the invention provides a kind of display packing of collision reaction path, comprising:

Obtain the primary data of collision object before collision;

The angle value α of inclined-plane and preset plane is collided in acquisition and described impact body impacts is front and the angle value β of described preset plane;

The path of rebounding after determining described impact body impacts according to δ=π+2 × alpha-beta and the angle value δ of described preset plane;

By the angle value of the path of rebounding after described primary data and described impact body impacts and described preset plane, determine the bounce-back data of collision rift;

According to described bounce-back data, the path after described collision object rebounds is shown.

Alternatively, the described angle value α obtaining collision inclined-plane and preset plane comprises:

By the coordinate of any point on collision inclined-plane, and the coordinate of the point of impingement that described collision object and described collision inclined-plane collide, determine the angle value α of described collision inclined-plane and described preset plane.

Alternatively, comprise with the angle value β of described preset plane before obtaining described impact body impacts:

By the coordinate of any point on the collision plane of incidence, and the coordinate of the point of impingement that described collision object collides with described collision inclined-plane, before determining described impact body impacts and the angle value β of described preset plane.

Alternatively, the angle value of described path by rebounding after described primary data and described impact body impacts and described preset plane, determine that the bounce-back data of collision rift comprise:

By the angle value δ of the path of rebounding and described preset plane after described collision object speed motion V before the collision and described impact body impacts, pass through $\left\{\begin{array}{c}Vx=cos(\mathrm{\π}+2\×\mathrm{\α}-\mathrm{\β})\×V\\ Vy=sin(\mathrm{\π}+2\×\mathrm{\α}-\mathrm{\β})\×V\end{array}\right.$ The movement velocity rebounded after calculating described impact body impacts numerical value Vx, Vy respectively on x, y coordinate direction.

The invention provides a kind of display device of collision reaction path, comprising:

First acquisition module, for obtaining the primary data of collision object before collision;

Second acquisition module, for obtaining the angle value β with described preset plane before collision inclined-plane and the angle value α of preset plane and described impact body impacts;

First determination module, for the angle value δ of the path of rebounding after determining described impact body impacts according to δ=π+2 × alpha-beta and described preset plane;

Second determination module, for the angle value of the path by rebounding after described primary data and described impact body impacts and described preset plane, determines the bounce-back data of collision rift;

Display module, for according to described bounce-back data, shows the path after described collision object rebounds.

Alternatively, described second acquisition module specifically for:

By the coordinate of any point on collision inclined-plane, and the coordinate of the point of impingement that described collision object and described collision inclined-plane collide, determine the angle value α of described collision inclined-plane and described preset plane.

Alternatively, described second acquisition module specifically for:

By the coordinate of any point on the collision plane of incidence, and the coordinate of the point of impingement that described collision object collides with described collision inclined-plane, before determining described impact body impacts and the angle value β of described preset plane.

Alternatively, described second determination module specifically for:

By the angle value δ of the path of rebounding and described preset plane after described collision object speed motion V before the collision and described impact body impacts, pass through $\left\{\begin{array}{c}Vx=cos(\mathrm{\π}+2\×\mathrm{\α}-\mathrm{\β})\×V\\ Vy=sin(\mathrm{\π}+2\×\mathrm{\α}-\mathrm{\β})\×V\end{array}\right.$ The movement velocity rebounded after calculating described impact body impacts numerical value Vx, Vy respectively on x, y coordinate direction.

The display packing in collision reaction path provided by the present invention and device, by obtaining the primary data of collision object before collision; And the angle value α of inclined-plane and preset plane is collided in acquisition and impact body impacts is front and the angle value β of preset plane; According to the angle value δ of the path of rebounding after δ=π+2 × alpha-beta determination impact body impacts and preset plane; By the angle value of the path of rebounding after primary data and impact body impacts and preset plane, determine the bounce-back data of collision rift; Finally according to bounce-back data, the path after collision object rebounds is shown.The display packing in collision reaction path provided by the present invention and device, carry out simulative display by the method for trigonometric function to the path of collision reaction, undertaken compared with simulative display with prior art by the method for vector, more simple and efficient.

Accompanying drawing explanation

Fig. 1 is the schematic diagram movement locus of bead and irregular polygon frame collision rift being carried out to simulative display;

Fig. 2 is the process flow diagram of a kind of embodiment of the display packing in collision reaction path provided by the present invention;

Fig. 3 is the process flow diagram of the another kind of embodiment of the display packing in collision reaction path provided by the present invention;

Fig. 4 is a kind of embodiment schematic diagram of acute angle bevel collision;

Fig. 5 is the another kind of embodiment schematic diagram of acute angle bevel collision;

Fig. 6 is a kind of embodiment schematic diagram of inclined-plane, obtuse angle collision;

Fig. 7 is the another kind of embodiment schematic diagram of inclined-plane, obtuse angle collision;

Fig. 8 is a kind of embodiment schematic diagram of vertical plane collision;

Fig. 9 is a kind of embodiment schematic diagram of surface level collision;

Figure 10 is a kind of embodiment schematic diagram of non-rectilinear impingement area;

Figure 11 is the structured flowchart of a kind of embodiment of the display device in collision reaction path provided by the present invention.

Embodiment

In order to make those skilled in the art person understand the present invention program better, below in conjunction with the drawings and specific embodiments, the present invention is described in further detail.Obviously, described embodiment is only the present invention's part embodiment, instead of whole embodiments.Based on the embodiment in the present invention, those of ordinary skill in the art, not making the every other embodiment obtained under creative work prerequisite, belong to the scope of protection of the invention.

As shown in Figure 2, the method comprises the process flow diagram of a kind of embodiment of the display packing in collision reaction path provided by the present invention:

Step S101: obtain the primary data of collision object before collision;

Step S102: the angle value α of inclined-plane and preset plane is collided in acquisition and described impact body impacts is front and the angle value β of described preset plane;

Step S103: the path of rebounding after determining described impact body impacts according to δ=π+2 × alpha-beta and the angle value δ of described preset plane;

Step S104: by the angle value of the path of rebounding after described primary data and described impact body impacts and described preset plane, determine the bounce-back data of collision rift;

Step S105: according to described bounce-back data, shows the path after described collision object rebounds.

The display packing in collision reaction path provided by the present invention, by obtaining the primary data of collision object before collision; And the angle value α of inclined-plane and preset plane is collided in acquisition and impact body impacts is front and the angle value β of preset plane; According to the angle value δ of the path of rebounding after δ=π+2 × alpha-beta determination impact body impacts and preset plane; By the angle value of the path of rebounding after primary data and impact body impacts and preset plane, determine the bounce-back data of collision rift; Finally according to bounce-back data, the path after collision object rebounds is shown.The display packing in collision reaction path provided by the present invention, carries out simulative display by the method for trigonometric function to the path of collision reaction, is undertaken compared with simulative display with prior art by the method for vector, more simple and efficient.

As shown in Figure 3, the method comprises the process flow diagram of the another kind of embodiment of the display packing in collision reaction path provided by the present invention:

Step S201: obtain the initial motion speed V of collision object before collision;

Step S202: by the coordinate of any point on collision inclined-plane, and the coordinate of the point of impingement that collision object and collision inclined-plane collide, determine the angle value α of described collision inclined-plane and described preset plane;

Step S203: by the coordinate of any point on the collision plane of incidence, and the coordinate of the point of impingement that described collision object collides with described collision inclined-plane, before determining described impact body impacts and the angle value β of described preset plane;

Step S204: the path of rebounding after determining described impact body impacts according to δ=π+2 × alpha-beta and the angle value δ of described preset plane;

Step S205: by the angle value δ of the path of rebounding and described preset plane after described collision object speed motion V before the collision and described impact body impacts, pass through $\left\{\begin{array}{c}Vx=cos(\mathrm{\π}+2\×\mathrm{\α}-\mathrm{\β})\×V\\ Vy=sin(\mathrm{\π}+2\×\mathrm{\α}-\mathrm{\β})\×V\end{array}\right.$ The movement velocity rebounded after calculating described impact body impacts numerical value Vx, Vy respectively on x, y coordinate direction.

Step S206: according to the bounce-back data obtained, shows the path after collision object rebounds.

Below for bead, respectively the collision inclined-plane of various situation is analyzed, determine that the feasibility of the method in collision rift bounce-back path is verified to above-mentioned.

Suppose that inclined-plane and coordinate system x-axis angle are α (0≤α < 180), incident angle before bead collision is β (0≤β < 360) relative to x-axis, and bead plane of incidence is equal with the angle q on inclined-plane with path of rebounding with the angle p on inclined-plane under desirable physical environment, the angle of rebound of bead collision rift is assumed to be δ, so δ and α, β has fixed relationship, simultaneously because α, β can calculate respectively by inclined-plane coordinate and little spherical coordinates, therefore the bounce-back track of bead can be showed by the coordinate of inclined-plane and bead.

Particularly, for the collision of acute angle bevel:

As shown in a kind of embodiment schematic diagram of accompanying drawing 4 acute angle bevel collision, meet following condition:

$\left\{\begin{array}{c}\mathrm{\&delta;}=\mathrm{\&pi;}-q+\mathrm{\&alpha;}\\ p=q\\ p=\mathrm{\&beta;}-\mathrm{\&alpha;}\end{array}\right.,$ Can be drawn by above formula: δ=π+2 × alpha-beta.

As shown in the another kind of embodiment schematic diagram of accompanying drawing 5 acute angle bevel collision, meet following condition:

$\left\{\begin{array}{c}\mathrm{\&delta;}=\mathrm{\&pi;}+q+\mathrm{\&alpha;}\\ p=q\\ p=2\mathrm{\&pi;}-\mathrm{\&beta;}+\mathrm{\&alpha;}\end{array}\right.,$ Therefore obtain: δ=3 × π+2 × alpha-beta.

Collision for inclined-plane, obtuse angle:

As shown in a kind of embodiment schematic diagram of inclined-plane, accompanying drawing 6 obtuse angle collision, meet following condition:

$\left\{\begin{array}{c}\mathrm{\&delta;}=q-(\mathrm{\&pi;}-\mathrm{\&alpha;})\\ p=q\\ p=\mathrm{\&alpha;}-\mathrm{\&beta;}\end{array}\right.,$ Can obtain thus: δ=2 × alpha-beta-π.

As shown in the another kind of embodiment schematic diagram of inclined-plane, accompanying drawing 7 obtuse angle collision, meet following condition:

$\left\{\begin{array}{c}\mathrm{\&delta;}=2\&times;\mathrm{\&pi;}-q-(\mathrm{\&pi;}-\mathrm{\&alpha;})\\ p=q\\ p=\mathrm{\&beta;}-\mathrm{\&alpha;}\end{array}\right.,$ Can obtain thus: δ=π+2 × alpha-beta.

As shown in a kind of embodiment schematic diagram of accompanying drawing 8 vertical plane collision, can draw

$\left\{\begin{array}{c}\mathrm{\&delta;}=\mathrm{\&pi;}+\mathrm{\&alpha;}+q\\ p=q\\ p=\mathrm{\&alpha;}-\mathrm{\&beta;}\\ \mathrm{\&alpha;}=\mathrm{\&pi;}/2\end{array}\right.,$ Obtain thus: δ=π+2 × alpha-beta.When incident, bounce angle exchange, or during the collision of vertical plane heteropleural, bounce-back conclusion is identical.

Collision for surface level:

As shown in a kind of embodiment schematic diagram of accompanying drawing 9 surface level collision, can draw

$\left\{\begin{array}{c}\mathrm{\&delta;}=\mathrm{\&pi;}-q\\ p=q=\mathrm{\&beta;},\\ \mathrm{\&alpha;}=0\end{array}\right.$ Obtain thus: δ=π+2 × alpha-beta.When incident, bounce angle exchange, or when colliding below surface level, bounce-back conclusion is identical.

Again according to the periodicity of trigonometric function:

sin(3×π+2×α-β)＝sin(π+2×α-β)

cos(3×π+2×α-β)＝cos(π+2×α-β)

sin(2×α-β-π)＝sin(π+2×α-β)

cos(2×α-β-π)＝cos(π+2×α-β)

Therefore, after comprehensive above six kinds of situations, collision reaction computing formula is: δ=π+2 × alpha-beta.

Therefore, in 2-D, suppose that the angle on inclined-plane is α, the angle of bead collision is β, if the impact velocity V=1 of bead, the angle of the movement locus so rebounded behind bead collision inclined-plane is δ=π+2 × alpha-beta, can directly show that the direction of motion of bead and speed are thus by the trigonometric function of movement locus angle: $\left\{\begin{array}{c}Vx=cos(\mathrm{\&pi;}+2\&times;\mathrm{\&alpha;}-\mathrm{\&beta;})\&times;V\\ Vy=\sin (\mathrm{\&pi;}+2\&times;\mathrm{\&alpha;}-\mathrm{\&beta;})\&times;V\end{array}\right..$

Visible, to the calculating of the next coordinate of bead motion, directly can carry out displacement new on x, y coordinate direction on original coordinate basis and add and subtract; And, its motion of bead collision rift just becomes cos (π+2 × alpha-beta) × V from speed cos (β) × V on x coordinate direction, being changed on y coordinate direction becomes sin (π+2 × alpha-beta) × V from speed sin (β) × V, and the movement locus of bead still can mark with simple coordinate position.In addition, only need to know that the point of impingement and normal vector thereof also can calculate the bounce-back track of bead, the bounce-back of non-rectilinear impingement area can be calculated easily, as collision that is circular or sector.As shown in the schematic diagram of accompanying drawing 10 non-rectilinear impingement area, only need the tangential angle knowing the point of impingement, the collision course of bead, the bounce-back track that can obtain bead is:

$\left\{\begin{array}{c}Vx=cos(\mathrm{\&pi;}+2\&times;\mathrm{\&alpha;}-\mathrm{\&beta;})\&times;V\\ Vy=sin(\mathrm{\&pi;}+2\&times;\mathrm{\&alpha;}-\mathrm{\&beta;})\&times;V\end{array}\right..$

Visible, the invention provides the simulative display method in arbitrarily angled collision reaction path, a kind of any inclined-plane, can by the use of simple trigonometric function, the bounce-back track of collision rift can be drawn, do not use the vector calculation of high consumption, as long as detect collision, the bounce-back track of object can be gone out according to the collision angle simulative display of the angle of inclination of impingement area and object, thus enormously simplify calculating complexity and, simplify implementation method, improve work efficiency.

As shown in figure 11, this device comprises the structured flowchart of a kind of embodiment of the display device in collision reaction path provided by the present invention:

First acquisition module 100, for obtaining the primary data of collision object before collision;

Second acquisition module 200, for obtaining the angle value β with described preset plane before collision inclined-plane and the angle value α of preset plane and described impact body impacts;

First determination module 300, for the angle value δ of the path of rebounding after determining described impact body impacts according to δ=π+2 × alpha-beta and described preset plane;

Second determination module 400, for the angle value of the path by rebounding after described primary data and described impact body impacts and described preset plane, determines the bounce-back data of collision rift;

Display module 500, for according to described bounce-back data, shows the path after described collision object rebounds.

As a kind of embodiment, above-mentioned second acquisition module 200 can be specifically for:

By the coordinate of any point on collision inclined-plane, and the coordinate of the point of impingement that described collision object and described collision inclined-plane collide, determine the angle value α of described collision inclined-plane and described preset plane.

As a kind of embodiment, above-mentioned second acquisition module 200 can be specifically for: by the coordinate of any point on the collision plane of incidence, and the coordinate of the point of impingement that described collision object and described collision inclined-plane collide, determine the angle value β with described preset plane before described impact body impacts.

As a kind of embodiment, above-mentioned second determination module 400 specifically for:

By the angle value δ of the path of rebounding and described preset plane after described collision object speed motion V before the collision and described impact body impacts, pass through $\left\{\begin{array}{c}Vx=cos(\mathrm{\&pi;}+2\&times;\mathrm{\&alpha;}-\mathrm{\&beta;})\&times;V\\ Vy=sin(\mathrm{\&pi;}+2\&times;\mathrm{\&alpha;}-\mathrm{\&beta;})\&times;V\end{array}\right.$ The movement velocity rebounded after calculating described impact body impacts numerical value Vx, Vy respectively on x, y coordinate direction.

The display device in collision reaction path provided by the present invention is corresponding with the display packing in above-mentioned collision reaction path, can be cross-referenced, does not repeat them here.

In this instructions, each embodiment adopts the mode of going forward one by one to describe, and what each embodiment stressed is the difference with other embodiment, between each embodiment same or similar part mutually see.

To the above-mentioned explanation of the disclosed embodiments, professional and technical personnel in the field are realized or uses the present invention.To be apparent for those skilled in the art to the multiple amendment of these embodiments, General Principle as defined herein can without departing from the spirit or scope of the present invention, realize in other embodiments.Therefore, the present invention can not be restricted to these embodiments shown in this article, but will meet the widest scope consistent with principle disclosed herein and features of novelty.

Claims (8)

1. the display packing in collision reaction path, is characterized in that, comprising:

Obtain the primary data of collision object before collision;

The angle value α of inclined-plane and preset plane is collided in acquisition and described impact body impacts is front and the angle value β of described preset plane;

The path of rebounding after determining described impact body impacts according to δ=π+2 × alpha-beta and the angle value δ of described preset plane;

By the angle value of the path of rebounding after described primary data and described impact body impacts and described preset plane, determine the bounce-back data of collision rift;

According to described bounce-back data, the path after described collision object rebounds is shown.

2. the display packing in collision reaction path as claimed in claim 1, is characterized in that, the described angle value α obtaining collision inclined-plane and preset plane comprises:

By the coordinate of any point on collision inclined-plane, and the coordinate of the point of impingement that described collision object and described collision inclined-plane collide, determine the angle value α of described collision inclined-plane and described preset plane.

3. the display packing in collision reaction path as claimed in claim 2, is characterized in that, comprises before obtaining described impact body impacts with the angle value β of described preset plane:

By the coordinate of any point on the collision plane of incidence, and the coordinate of the point of impingement that described collision object collides with described collision inclined-plane, before determining described impact body impacts and the angle value β of described preset plane.

4. the display packing in the collision reaction path as described in any one of claims 1 to 3, it is characterized in that, the angle value of described path by rebounding after described primary data and described impact body impacts and described preset plane, determine that the bounce-back data of collision rift comprise:

By the angle value δ of the path of rebounding and described preset plane after described collision object speed motion V before the collision and described impact body impacts, pass through $\left\{\begin{array}{c}Vx=\cos (\mathrm{\&pi;}+2\&times;\mathrm{\&alpha;}-\mathrm{\&beta;})\&times;V\\ Vy=\sin (\mathrm{\&pi;}+2\&times;\mathrm{\&alpha;}-\mathrm{\&beta;})\&times;V\end{array}\right.$ The movement velocity rebounded after calculating described impact body impacts numerical value Vx, Vy respectively on x, y coordinate direction.

5. the display device in collision reaction path, is characterized in that, comprising:

First acquisition module, for obtaining the primary data of collision object before collision;

Second acquisition module, for obtaining the angle value β with described preset plane before collision inclined-plane and the angle value α of preset plane and described impact body impacts;

First determination module, for the angle value δ of the path of rebounding after determining described impact body impacts according to δ=π+2 × alpha-beta and described preset plane;

Second determination module, for the angle value of the path by rebounding after described primary data and described impact body impacts and described preset plane, determines the bounce-back data of collision rift;

Display module, for according to described bounce-back data, shows the path after described collision object rebounds.

6. the display device in collision reaction path as claimed in claim 5, is characterized in that, described second acquisition module specifically for:

By the coordinate of any point on collision inclined-plane, and the coordinate of the point of impingement that described collision object and described collision inclined-plane collide, determine the angle value α of described collision inclined-plane and described preset plane.

7. the display device in collision reaction path as claimed in claim 6, is characterized in that, described second acquisition module specifically for:

By the coordinate of any point on the collision plane of incidence, and the coordinate of the point of impingement that described collision object collides with described collision inclined-plane, before determining described impact body impacts and the angle value β of described preset plane.

8. the display device in the collision reaction path as described in any one of claim 5 to 7, is characterized in that, described second determination module specifically for:

By the angle value δ of the path of rebounding and described preset plane after described collision object speed motion V before the collision and described impact body impacts, pass through $\left\{\begin{array}{c}Vx=cos(\mathrm{\&pi;}+2\&times;\mathrm{\&alpha;}-\mathrm{\&beta;})\&times;V\\ Vy=sin(\mathrm{\&pi;}+2\&times;\mathrm{\&alpha;}-\mathrm{\&beta;})\&times;V\end{array}\right.$ The movement velocity rebounded after calculating described impact body impacts numerical value Vx, Vy respectively on x, y coordinate direction.