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Method and apparatus for generating images
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A technology for a generating device and a generating method, which is applied in the field of recording media, entertainment systems, image generating methods, recording media, and image generating devices for displaying point sequences on a screen, and can solve the problems of large number of calculations, large perspective conversion, and Burden and other issues
Inactive Publication Date: 2002-07-24
SONY COMPUTER ENTERTAINMENT INC
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[0006] However, since the distance from the point of view to each of the very many points constituting the drawn object is different, the number of calculations for coordinate conversion, perspective conversion, etc. burden on peripheral equipment
[0007] In other words, the number of calculations for this coordinate conversion, perspective conversion, etc. is very large when performing real-time high-speed drawing calculations for object images that are continuously changing on an entertainment system such as a video game device, and this is already a problem
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no. 1 example
[0097] Now, let us assume that any sequence of points distributed in three-dimensional space is a sequence of points uniformly distributed in a sphere.
[0098] Figure 7 The result is described for an arbitrary sequence of points existing in three-dimensional space projected on a two-dimensional screen in the viewing direction (ie, the Z-axis direction).
[0099] In the case of projecting a point sequence on a two-dimensional space screen, the entire distribution of the projected point sequence is within a circle, and the distribution is denser (dimmer) at the central position. It becomes gradually sparser in the radiation direction, and becomes sparsest (brightest) near the periphery.
[0100] Now, if the probability density function in the spherical three-dimensional space where the point sequence exists uniformly is f(X, Y, Z), then the occurrence probability of the point sequence can be expressed by the following formula:
[0101] 0≤f(X, Y, Z)≤1...(4)
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no. 2 example
[0116] If f(X, Y, Z) is provided, the integral formula of formula (11) can be solved numerically. However, in the constant case it can be solved in an even simpler way using approximations.
[0117] Let us assume that the sequence of points is uniformly distributed within a sphere in three-dimensional space. In this case, the point sequence probability density f(X, Y, Z) in the three-dimensional space can be represented by a constant A.
[0118] f(X, Y, Z)=f(x·Z / h, yZ / h, Z)=A...(12)
[0119] Substituting equation (12) into equation (11) yields the following equation: g ( x , y ) = ∫ 0 x A · ( Z / h ) 2 dZ · · · ( 13 )...
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Abstract
An image generating apparatus and image generating method determine the distribution state of dot-sequences on a two-dimensional screen using two-dimensional Gaussian distribution in the event that the plurality of dot-sequences randomly exist in a sphere within the three-dimensional space, an generate an image of dot-sequences on the two-dimensional screen based on the distribution state on the two-dimensional screen. The two-dimensional Gaussian distribution can be factored to the product of one-dimensional Gaussian distributions, and the one-dimensional Gaussian distributions can be generated by uniform random numbers. Thus, it is easy to create an image by projecting a plurality of dot-sequences randomly existing in a three-dimensional space onto a two-dimensional screen.
Description
Background of the invention [0001] scope of invention [0002] The present invention relates to an image generation method, an image generation device, an entertainment system, and a recording medium suitable for real-time generation and display of images of three-dimensional objects using limited hardware resources such as an entertainment system, such as a video game device, or a personal computer . [0003] More specifically, the present invention relates to computer graphics processing in three-dimensional space, and relates to an image generating device and an image generating method for displaying point sequences (point groups) on a two-dimensional screen in accordance with a probability distribution in three-dimensional space , entertainment systems, and recording media. Background of the invention [0004] There are many cases in computer graphics processing in which a plurality of arbitrary existing points in three-dimensional space must be displayed on an imagina...
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