W. Randolph Franklin, President
Email: info@quantum-geometry.com
Mail: 1887 Whitney Mesa Dr # 3107, Henderson NV, 89014-2069
Computational Geometry · GPU Computing · Quantum Computing
Quantum Geometry® LLC provides specialized consulting on difficult computational problems where geometry, high-performance computing, and emerging quantum methods meet.
We design algorithms, evaluate technical approaches, and help clients move efficiently from mathematical formulation to practical implementation.
Quantum Computing
Technical consulting and instruction in quantum computer programming, with emphasis on understanding where quantum methods may—or may not—offer a useful computational advantage.
At Rensselaer Polytechnic Institute, Franklin created the School of Engineering's first Quantum Computer Programming course and taught it three times.
Geometry & CAD
Algorithm design for computational geometry, computer-aided design, computational cartography, and geographic information science, including difficult large-scale and exact-computation problems.
Representative topics include geometric predicates, spatial data structures, 3D operations, and overlaying triangulations.
GPU & Parallel Computing
Design and implementation of parallel algorithms for multicore CPUs and NVIDIA GPUs, including CUDA programming and data structures tailored to massively parallel execution.
The objective is not simply to port sequential code, but to reformulate algorithms and data structures for the hardware actually executing them.
Published result
Exact geometric computation at GPU scale
In published work on exact geometric predicates, GPU interval arithmetic combined with CPU arbitrary-precision fallback produced speedups of up to 1,936× for predicate evaluation and up to 414× for the complete algorithm, compared with a similar sequential implementation.
Fast parallel evaluation of exact geometric predicates on GPUs, Computer-Aided Design, 2022.
Principal
W. Randolph Franklin
Franklin is Professor Emeritus of Engineering at Rensselaer Polytechnic Institute. His background includes a PhD in Applied Mathematics from Harvard University and a sabbatical in the EECS Department at the University of California, Berkeley. He served for three years as a Program Director in NSF/CISE, including work on two joint NSF/DARPA solicitations on Computational Algorithms and Representations for Geometric Objects (CARGO).
At RPI he supervised 18 PhD students and 70 master's students and taught courses spanning computational geometry, parallel computing, computer-aided design, and quantum computer programming.
Consulting
A focused technical consultation can be faster than learning a new field from scratch.
For algorithm design, GPU/CUDA implementation, computational geometry, GIS/CAD methods, or quantum-computing questions, contact Quantum Geometry® LLC to discuss the problem and whether the company can help.
Payment accepted by Visa, Mastercard, wire, check, and Venmo.