JP2010066920A5

JP2010066920A5 -

Info

Publication number: JP2010066920A5
Application number: JP2008231398A
Authority: JP
Filing date: 2008-09-09
Publication date: 2011-11-17
Anticipated expiration: 2028-09-09

Claims

A three-dimensional position designation device for designating a three-dimensional position in a three-dimensional space,
Two-dimensional position specifying means for specifying a two-dimensional position in a two-dimensional space;
A two-dimensional position designated by the two-dimensional position designation means of the Nth stage Sherpinski carpet having an array of 8 ^N squares (where “N” is an integer equal to or greater than 1). Are associated with any one of 2 ^N × 2 ^N × 2 ^N voxels constituting a voxel space according to a predetermined correspondence rule, and the one region associated with the square region Computing means for obtaining a three-dimensional position in the three-dimensional space based on a position of the voxel in the voxel space;
A three-dimensional position specifying device.

The three-dimensional position specifying device according to claim 1,
The correspondence rule stipulates the correspondence between the 8 square regions constituting the first Sherpinski carpet and the 2 × 2 × 2 voxels constituting one volume,
The computing means is the n-th square area corresponding to the designated two-dimensional position of the Sherpinsky carpet in the n-th stage (where “n” is an integer satisfying 1 ≦ n ≦ N). The designation in a voxel space composed of 2 ⁿ × 2 ⁿ × 2 ⁿ voxels based on the position in the square area corresponding to the designated two-dimensional position of the one-step Sherpinski carpet and the correspondence rule. Obtaining a position in the voxel corresponding to the specified two-dimensional position in a voxel space composed of 2 ^n-1 × 2 ^n-1 × 2 ^n-1 voxels of the voxel corresponding to the specified two-dimensional position; A three-dimensional position designation device that acquires a three-dimensional position in the three-dimensional space based on the acquired positions of n voxels.

The three-dimensional position specifying device according to claim 1 or 2,
The conversion rule is to draw eight square areas of the first-stage Sherpinski carpet according to the order on the one-stroke path determined for them, with respect to 2 × 2 × 2 voxels. A three-dimensional position specifying device which is a rule assigned to follow a writing path.

In the three-dimensional position designation device according to any one of claims 1 to 3 ,
Display means capable of displaying an image on the display screen;
Display control means for displaying an image based on the N-th stage Shelpinski carpet on the display screen and plotting the three-dimensional coordinates indicating the three-dimensional position acquired by the computing means on the display screen. When,
A three-dimensional position specifying device further comprising:

The three-dimensional position specifying device according to claim 4 ,
The display control means plots the three-dimensional coordinates indicating the three-dimensional position acquired by the computing means on the display screen, and displays an image based on a voxel having a predetermined size around the three-dimensional position. Dimensional positioning device.

A three-dimensional position designation program that causes a computer to function as a device for designating a three-dimensional position in a three-dimensional space,
A two-dimensional position specifying module for specifying a two-dimensional position specified in a two-dimensional space;
A square area corresponding to the specified two-dimensional position of the N-th stage Sherpinski carpet having an array of 8 ^N square areas (where “N” is an integer equal to or greater than 1) Corresponding to any one of 2 ^N × 2 ^N × 2 ^N voxels constituting the voxel space according to the correspondence rule, and at the position of the one voxel associated with the square region in the voxel space An arithmetic module that obtains a three-dimensional position in the three-dimensional space based on;
A three-dimensional position designation program comprising:

A voxel modeling device capable of expressing a three-dimensional shape as a set of voxels,
Two-dimensional position specifying means for specifying a two-dimensional position in a two-dimensional space;
A two-dimensional position designated by the two-dimensional position designation means of the Nth stage Sherpinski carpet having an array of 8 ^N squares (where “N” is an integer equal to or greater than 1). Are associated with any one of 2 ^N × 2 ^N × 2 ^N voxels constituting a voxel space according to a predetermined correspondence rule, and the one region associated with the square region Position acquisition means for acquiring a position of the voxel in the voxel space;
Shape setting means for setting a three-dimensional shape based on voxels at positions acquired by the position acquisition means;
A voxel modeling device.

A voxel modeling program for causing a computer to function as a device for expressing a three-dimensional shape as a set of voxels,
A two-dimensional position specifying module for specifying a two-dimensional position specified in a two-dimensional space;
A square area corresponding to the specified two-dimensional position of the N-th stage Sherpinski carpet having an array of 8 ^N square areas (where “N” is an integer equal to or greater than 1) Corresponding to any one of 2 ^N × 2 ^N × 2 ^N voxels constituting the voxel space according to the correspondence rule, and the position of the one voxel associated with the square region in the voxel space A position acquisition module to acquire, a shape setting module to set a three-dimensional shape based on the voxel of the acquired position,
Voxel modeling program provided.