I thank my advisor, Melvin W. Siegel, for providing me not only with an interesting research topic, but also the resources and guidance I needed to bring it to a satisfactory conclusion in a timely manner. Mel has helped make the last three years both pleasant and rewarding for me. I have learned many things, including the proper use of the word "determine " and the difference between latitude and longitude. Many interesting conversations with Victor S. Grinberg also helped to sharpen our thinking about this topic. I would also like to thank Alan Guisewite for his invaluable assistance with CMU's computing environment. His patience regarding my constant questions and problems has been commendable. I am grateful to my committee, consisting of Physics Department faculty members Steve Garoff, Brad Keister, and Jim Russ, and Computer Science faculty member Paul Heckbert, for their comments and support. I am also indebted to the Carnegie Mellon University Physics Department for providing me with a teaching assistantship and summer job for five years, without which this thesis would not be possible. The early stages of this work, before I became involved, were supported by General
|
390
|
An Improved Illumination Model for Shaded Display
– Whitted
- 1980
|
|
266
|
D.: Classical Electrodynamics
– Jackson
- 1962
|
|
161
|
Algorithms for Minimization without Derivatives
– Brent
- 1973
|
|
153
|
Digital image processing
– Pratt
- 1991
|
|
138
|
Data Reduction and Error Analysis for the Physical Sciences (McGraw-Hill
– Bevington
- 1969
|
|
114
|
Principles of Optics
– Born, Wolf
- 1999
|
|
93
|
An efficient method for finding the minimum of a function of several variables without calculating derivatives
– Powell
- 1964
|
|
91
|
Understanding image intensities
– Horn
|
|
86
|
Illumination and Color in Computer Generated Imagery
– Hall
- 1989
|
|
73
|
Hill shading and the reflectance map
– Horn
- 1981
|
|
71
|
Simulating global illumination using adaptive meshing
– Heckbert
- 1991
|
|
68
|
Computer Methods for Mathematical Computations
– Forsythe, Moler
- 1977
|
|
65
|
Numerical Methods for Scientists and Engineers
– Hamming
- 1962
|
|
63
|
Height and gradient from shading
– Horn
- 1990
|
|
61
|
Physically based lighting calculations for computer graphics
– SHIRLEY
- 1991
|
|
46
|
Introduction to Shannon Sampling and Interpolation Theory
– Marks
- 1991
|
|
44
|
Elementary Theory of Angular Momentum
– Rose
- 1957
|
|
39
|
Press et al. Numerical Recipes in C
– H
- 2002
|
|
36
|
Numerical Methods and Software
– KAHANER, MOLER, et al.
- 1989
|
|
27
|
A comprehensive light source description for computer graphics, submitted for publication
– Verbeck, Greenberg
- 1984
|
|
25
|
Near-field photometry: a new approach
– ASHDOWN
- 1993
|
|
23
|
The Photic Field
– Moon, Spencer
- 1981
|
|
22
|
Minimizing a function without calculating derivatives
– Zangwill
- 1967
|
|
18
|
Numerical Methods That Work
– Acton
- 1970
|
|
18
|
Principles of Adaptive Optics
– Tyson
- 1991
|
|
16
|
Function Minimization Without Evaluating Derivatives---A Review
– Fletcher
- 1965
|
|
14
|
Fourier Series
– Tolstov
- 1976
|
|
13
|
Algorithms for Finding Zeros and Extrema of Functions Without Calculating Derivatives
– Brent
- 1971
|
|
13
|
The Light Field
– Gershun
- 1939
|
|
11
|
Radiometry and the Detection of Optical Radiation
– Boyd
- 1983
|
|
11
|
Photometric Characteristics of Light Controlling Apparatus
– Levin
- 1971
|
|
10
|
On the Calculation of Radiant Interchange between Surfaces
– Sparrow
- 1963
|
|
6
|
Non-imaging optics design using genetic algorithms
– Ashdown
- 1994
|
|
6
|
On interreflections
– Moon
- 1940
|
|
6
|
Machine Perception of 3-Dimensional Solids
– Roberts
- 1965
|
|
4
|
A survey of numerical methods for unconstrained optimization
– Powell
- 1970
|
|
4
|
The light flux distribution of a system of interreflecting surfaces
– Yamauti
- 1926
|
|
3
|
Singular Value Decompsition and Least Squares Solutions
– Golub, Reinsch
- 1970
|
|
3
|
siva de mensura et gradibus luminis, colorum et umbrae
– Photometria
- 1892
|
|
3
|
On Near-Field Photometry
– Ngai
- 1987
|
|
2
|
A New Measure of Uniformity for Lighting Installations
– Armstrong
- 1990
|
|
2
|
Computer Design of Automotive Lamps With Faceted Reflectors
– Donohue, Joseph
- 1972
|
|
2
|
Computer Synthesized Filament Images From Reflectors and Through Lens Elements for Lamp Design and Evaluation
– Donohue, Joseph
- 1975
|
|
2
|
Optical Design of Reflectors. published by author
– Elmer
- 1974
|
|
2
|
Development of New Photometer Concepts for Quality Control Applications
– Lewin, Laird, et al.
- 1990
|
|
2
|
Statistical Uniformity, A New Method Of Evaluation
– Mathieu
- 1989
|
|
2
|
Study of Near-Field Indirect Lighting Calculations
– Mistrick, English
- 1990
|
|
2
|
A New Method for Computer Aided Design of Luminaire Reflectors
– Myodo, Karino
- 1982
|
|
2
|
Ngai et al. Near-Field Photometry: Measurement and Application for Fluorescent Luminaires
– Y
- 1992
|
|
2
|
State of the Art in Computer Graphics
– Rogers
- 1991
|
|
