WO2006116154A3 - Bandlimited texture slicing for computer graphics - Google Patents

Bandlimited texture slicing for computer graphics Download PDF

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Publication number
WO2006116154A3
WO2006116154A3 PCT/US2006/015197 US2006015197W WO2006116154A3 WO 2006116154 A3 WO2006116154 A3 WO 2006116154A3 US 2006015197 W US2006015197 W US 2006015197W WO 2006116154 A3 WO2006116154 A3 WO 2006116154A3
Authority
WO
WIPO (PCT)
Prior art keywords
bandlimited
slice
dimensions
function
data set
Prior art date
Application number
PCT/US2006/015197
Other languages
French (fr)
Other versions
WO2006116154A2 (en
Inventor
Robert L Cook
Anthony David Derose
Original Assignee
Pixar
Robert L Cook
Anthony David Derose
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Pixar, Robert L Cook, Anthony David Derose filed Critical Pixar
Publication of WO2006116154A2 publication Critical patent/WO2006116154A2/en
Publication of WO2006116154A3 publication Critical patent/WO2006116154A3/en

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Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06TIMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T3/00Geometric image transformation in the plane of the image
    • G06T3/40Scaling the whole image or part thereof
    • G06T3/4084Transform-based scaling, e.g. FFT domain scaling

Abstract

Slices of N dimensions can be extracted from bandlimited data sets of M dimensions. N is any arbitrary value less than N. A value of a slice is defined by an evaluation of an integral of the bandlimited data set weighted by a filter scaling function orientated along the normal of the slice. Due to the properties of the bandlimited data set, the slice is bandlimited in N dimensions as well. The filter scaling function diminishes at substantially the same rate as the aliasing frequency of the bandlimited data set in the normal direction. The convolution of a scaling basis function used to construct the bandlimited data with itself defines the filter scaling function. A scaling basis function widened in the direction of the normal can approximate the filter scaling function in some cases. Quadrature can approximate the value of the integral. Slices may or may not be axis aligned.
PCT/US2006/015197 2005-04-21 2006-04-21 Bandlimited texture slicing for computer graphics WO2006116154A2 (en)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US67593205P 2005-04-21 2005-04-21
US60/675,932 2005-04-21

Publications (2)

Publication Number Publication Date
WO2006116154A2 WO2006116154A2 (en) 2006-11-02
WO2006116154A3 true WO2006116154A3 (en) 2007-12-13

Family

ID=37215317

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/US2006/015197 WO2006116154A2 (en) 2005-04-21 2006-04-21 Bandlimited texture slicing for computer graphics

Country Status (1)

Country Link
WO (1) WO2006116154A2 (en)

Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20030182246A1 (en) * 1999-12-10 2003-09-25 Johnson William Nevil Heaton Applications of fractal and/or chaotic techniques

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20030182246A1 (en) * 1999-12-10 2003-09-25 Johnson William Nevil Heaton Applications of fractal and/or chaotic techniques

Also Published As

Publication number Publication date
WO2006116154A2 (en) 2006-11-02

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