60 citations · 113 across the 10 of their papers we have counts for
10 papers
Exploring the Adjugate Matrix Approach to Quaternion Pose Extraction
Andrew J. Hanson, Sonya M. Hanson
Quaternions are important for a wide variety of rotation-related problems in computer graphics, machine vision, and robotics. We study the nontrivial geometry of the relationship b…
The Quaternion-Based Spatial Coordinate and Orientation Frame Alignment Problems
Andrew J. Hanson
We review the general problem of finding a global rotation that transforms a given set of points and/or coordinate frames (the "test" data) into the best possible alignment with a…
Quantum Interval-Valued Probability: Contextuality and the Born Rule
Yu-Tsung Tai, Andrew J. Hanson, Gerardo Ortiz +1
We present a mathematical framework based on quantum interval-valued probability measures to study the effect of experimental imperfections and finite precision measurements on def…
Charting the Interstellar Magnetic Field causing the Interstellar Boundary Explorer (IBEX) Ribbon of Energetic Neutral Atoms
P. C. Frisch, A. Berdyugin, V. Piirola +10
The interstellar magnetic field (ISMF) near the heliosphere is a basic part of the solar neighborhood that can only be studied using polarized starlight. Results of an ongoing surv…
Discrete Quantum Theories
Andrew J. Hanson, Gerardo Ortiz, Amr Sabry +1
We explore finite-field frameworks for quantum theory and quantum computation. The simplest theory, defined over unrestricted finite fields, is unnaturally strong. A second framewo…
Amplitude-Based Approach to Evidence Accumulation
A. J. Hanson
We point out the need to use probability amplitudes rather than probabilities to model evidence accumulation in decision processes involving real physical sensors. Optical informat…