Open Access
Digital Terrain Data Compaction Using Array Algebra.
Urho Rauhala,Stephen Gerig +1 more
- 01 Nov 1976
4
TL;DR: In this article, the applicability of array algebra for digital terrain modeling and data compaction is investigated, and two options are evaluated for converting the collected data into regularly spaced terrain elevations.
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Abstract: : This report investigates the applicability of array algebra digital terrain modeling and data compaction. Two options were evaluated for converting the collected data into regularly spaced terrain elevations. First, an array prediction is performed of the data directly in the epipolar coordinate frame. This approach allows for data compaction and subsequent evaluation at uniform intervals in a gridded map coordinate system. Second, the principle of array algebra in a piecewise translocation algorithm is applied. In this approach the non-gridded epipolar coordinates are first converted to regularly spaced elevation data and then subsequently compacted using the methods of array prediction. In addition to analyzing the mathematical equations required for terrain compaction, the computational requirements were analyzed for both sequential and parallel processors. (Author)
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Citations
•Journal Article
Automated dtm validation and progressive sampling algorithm of finite element array relaxation
U A Rauhala,D Davis,K Baker +2 more
TL;DR: The development and results of some array relaxation algorithms of fast array algebra solutions for automated validation and progressive sampling of digital terrain models (DTM) are described and generalization of the array relaxation algorithm to the new array correlation technique of multi-ray global least-squares correlation is discussed.
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Intuitive derivation of loop inverses and array algebra
TL;DR: In this article, the problem of loop inverses is solved by a back substitution expressing ∧X in terms ofL through L_0, where L is the back substitution matrix and X is a set of unknown observables.
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Array algebra of terrain and support data compression
Urho Rauhala
- 01 Jan 2006
TL;DR: In this paper, the Lm-inverse connection among the condition and sequential adjustments is detailed to produce reversible data reconstruction using the low and high pass components of least squares adjustment, thereby expanding the wavelet theory and leading to new theories in nonlinear Taylor tensor polynomials, tensor decomposing, multi-linear and nonlinear Kalman updating, nonlinear Q-surface and tensor solution techniques, applied mathematics, signal processing, and general theory of estimation.