CaltechAUTHORS: Monograph
https://feeds.library.caltech.edu/people/Kajiya-J-T/monograph.rss
A Caltech Library Repository Feedhttp://www.rssboard.org/rss-specificationpython-feedgenenFri, 17 May 2024 13:33:57 -0700Ray tracing parametric patches
https://resolver.caltech.edu/CaltechAUTHORS:20120420-151015498
Year: 1982
DOI: 10.7907/gsy5a-w9850
This paper describes an algorithm that uses
ray t racing techniques to display bivariate polynomial surface patches. A new intersection algorithm is developed
which uses ideas from algebraic geometry to obtain a numerical procedure for finding the intersection of a ray and a patch without subdivision. The algorithm may use complex coordinates for the (u, v)-parameters of the patches. The choice of these coordinates makes the computations more uniform, so that there are fewer special cases to be considered. In particular, the appearance and disappearance of silhouette edges can be handled quite naturally. The uniformity of these techniques may be suitable for implementation on either a general purpose pipelined machine, or on special purpose hardware.https://resolver.caltech.edu/CaltechAUTHORS:20120420-151015498Ray Tracing Parametric Patches
https://resolver.caltech.edu/CaltechCSTR:1982.5017-tr-82
Year: 1982
DOI: 10.7907/n7akq-eye39
This paper describes an algorithm that uses
ray tracing techniques to display bivariate polynomial surface patches. A new intersection algorithm is developed
which uses ideas from algebraic geometry to obtain a numerical procedure for finding the intersection of a ray and a patch without subdivision. The algorithm may use complex
coordinates for the (u,v)-parameters of the patches. The
choice of these coordinates makes the computations more
uniform, so that there are fewer special cases to be considered. In particular, the appearance and disappearance
of silhouette edges can be handled quite naturally. The
uniformity of these techniques may be suitable for implementation on either a general purpose pipelined machine, or on special purpose hardware.https://resolver.caltech.edu/CaltechCSTR:1982.5017-tr-82New techniques for ray tracing procedurally defined objects
https://resolver.caltech.edu/CaltechAUTHORS:20120420-112657704
Year: 1983
DOI: 10.1145/800059.801137
We present new algorithms for efficient ray tracing of three procedurally defined objects: fractal surfaces,
prisms, and surfaces of revolution. The fractal surface
algorithm performs recursive subdivision adaptively.
Subsurfaces which cannot intersect a given ray are culled
from further consideration. The prism algorithm transforms
the three dimensional ray-surface intersection problem
into a two dimensional ray-curve intersection problem,
which is solved by the method of strip trees. The surface of
revolution algorithm transforms the three dimensional ray-surface intersection problem into a two dimensional curve-curve intersection problem, which again is solved by strip trees.https://resolver.caltech.edu/CaltechAUTHORS:20120420-112657704An Object Oriented Architecture
https://resolver.caltech.edu/CaltechCSTR:1984.5168-tr-84
Year: 1984
DOI: 10.7907/69pav-tep43
We propose a new machine architecture for high performance execution of late binding object
oriented languages The two principal mechanisms for attaining this goal are a fast context allocation/access
scheme and an instruction translation lookaside buffer New ideas in this paper include the concept and
implementation of abstract instructions, using floating point addresses to solve the small object problem, and a
novel context allocation/access mechanismhttps://resolver.caltech.edu/CaltechCSTR:1984.5168-tr-84Submicron Systems Architecture: Semiannual Technical Report
https://resolver.caltech.edu/CaltechCSTR:1985.5202-tr-85
Year: 1985
DOI: 10.7907/mrh1j-cjp65
No abstract available.https://resolver.caltech.edu/CaltechCSTR:1985.5202-tr-85Submicron Systems Architecture: Semiannual Technical Report
https://resolver.caltech.edu/CaltechCSTR:1986.5235-tr-86
Year: 1986
DOI: 10.7907/my65t-e9565
No abstract available.https://resolver.caltech.edu/CaltechCSTR:1986.5235-tr-86Submicron Systems Architecture: Semiannual Technical Report
https://resolver.caltech.edu/CaltechCSTR:1986.5220-tr-86
Year: 1986
DOI: 10.7907/rzewj-csb10
No abstract available.https://resolver.caltech.edu/CaltechCSTR:1986.5220-tr-86Submicron Systems Architecture: Semiannual Technical Report
https://resolver.caltech.edu/CaltechCSTR:1985.5178-tr-85
Year: 2001
DOI: 10.7907/7fbb9-smt37
No abstract available.https://resolver.caltech.edu/CaltechCSTR:1985.5178-tr-85Toward a mathematical theory of perception
https://resolver.caltech.edu/CaltechAUTHORS:20120424-144344175
Year: 2012
DOI: 10.7907/Z99Z92V3
A new technique for the modelling of perceptual
systems called formal modelling is developed. This
technique begins with qualitative observations about the
perceptual system, the so-called perceptual symmetries, to
obtain through mathematical analysis certain model
structures which may then be calibrated by experiment.
The analysis proceeds in two different ways depending upon
the choice of linear or nonlinear models. For the linear
case, the analysis proceeds through the methods of unitary
representation theory. It begins with a unitary group
representation on the image space and produces what we
have called the fundamental structure theorem. For the
nonlinear case, the analysis makes essential use of
infinite-dimensional manifold theory. It begins with a
Lie group action on an image manifold and produces the
fundamental structure formula.
These techniques will be used to study the brightness
perception mechanism of the human visual system. Several
visual groups are defined and their corresponding
structures for visual system models are obtained. A new
transform called the Mandala transform will be deduced
from a certain visual group and its implications for image processing will be discussed. Several new phenomena of
brightness perception will be presented. New facts about
the Mach band illusion along with new adaptation phenomena
will be presented. Also a new visual illusion will be
presented. A visual model based on the above techniques
will be presented. It will also be shown how use of
statistical estimation theory can be made in the study of
contrast adaptation. Furthermore, a mathematical
interpretation of unconscious inference and a simple
explanation of the Tolhurst effect without mutual channel
inhibition will be given. Finally, image processing
algorithms suggested by the model will be used to process
a real-world image for enhancement and for "form" and
texture extraction.https://resolver.caltech.edu/CaltechAUTHORS:20120424-144344175