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19922026
most citedQuaternion Fourier Transform on Quaternion Fields and Generalizations

288 citations

Showing 2013Show all

30 papers · 1 filter

eess.SY2013★ 4 cited

Tethered Flying Robot for Information Gathering System

Tohru Ishii, Yasutake Takahashi, Yoichiro Maeda +1

Information from the sky is important for rescue activity in large-scale disaster or dangerous areas. Observation system using a balloon or an airplane has been studied as an infor…

quant-ph2013

A Non-Interactive Quantum Bit Commitment Scheme that Exploits the Computational Hardness of Quantum State Distinction

Tomoyuki Yamakami

We propose an efficient quantum protocol performing quantum bit commitment, which is a simple cryptographic primitive involved with two parties, called a committer and a verifier.…

quant-ph2013★ 6 cited

Constant-Space Quantum Interactive Proofs Against Multiple Provers

Tomoyuki Yamakami

We present upper and lower bounds of the computational complexity of the two-way communication model of multiple-prover quantum interactive proof systems whose verifiers are limite…

math.AG2013★ 2 cited

Detection of Total Rotations on 2D-Vector Fields with Geometric Correlation

Roxana Bujack, Gerik Scheuermann, Eckhard Hitzer

Correlation is a common technique for the detection of shifts. Its generalization to the multidimensional geometric correlation in Clifford algebras additionally contains informati…

math.AG2013★ 26 cited

A General Geometric Fourier Transform Convolution Theorem

Roxana Bujack, Gerik Scheuermann, Eckhard Hitzer

The large variety of Fourier transforms in geometric algebras inspired the straight forward definition of ``A General Geometric Fourier Transform`` in Bujack et al., Proc. of ICCA9…

cond-mat.mtrl-sci2013★ 2 cited

New views of crystal symmetry guided by profound admiration of the extraordinary works of Grassmann and Clifford

Eckhard Hitzer

This paper shows how beginning with Justus Grassmann's work, Hermann Grassmann was influenced in his mathematical thinking by crystallography. H. Grassmann's Ausdehnungslehre in tu…