Breuils, Stephane; Tachibana, Kanta; Hitzer, Eckhard New applications of Clifford’s geometric algebra. (English) Zbl 1490.15036 Adv. Appl. Clifford Algebr. 32, No. 2, Paper No. 17, 39 p. (2022). Reviewer: Morteza Shahpari (Adelaide) MSC: 15A67 15A66 68T01 68U05 11E88 70E60 94A12 PDFBibTeX XMLCite \textit{S. Breuils} et al., Adv. Appl. Clifford Algebr. 32, No. 2, Paper No. 17, 39 p. (2022; Zbl 1490.15036) Full Text: DOI
Franchini, Silvia; Gentile, Antonio; Vassallo, Giorgio; Vitabile, Salvatore Implementation and evaluation of medical imaging techniques based on conformal geometric algebra. (English) Zbl 1466.92087 Int. J. Appl. Math. Comput. Sci. 30, No. 3, 415-433 (2020). MSC: 92C55 14A99 15A66 PDFBibTeX XMLCite \textit{S. Franchini} et al., Int. J. Appl. Math. Comput. Sci. 30, No. 3, 415--433 (2020; Zbl 1466.92087) Full Text: DOI
Alves, R.; Hildenbrand, D.; Steinmetz, C.; Uftring, P. Efficient development of competitive Mathematica solutions based on geometric algebra with GAALOPWeb. (English) Zbl 1457.68321 Adv. Appl. Clifford Algebr. 30, No. 4, Paper No. 59, 18 p. (2020). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 68W30 15A66 51K99 51N20 68U05 PDFBibTeX XMLCite \textit{R. Alves} et al., Adv. Appl. Clifford Algebr. 30, No. 4, Paper No. 59, 18 p. (2020; Zbl 1457.68321) Full Text: DOI
Sousa, Eduardo Vera; Fernandes, Leandro A. F. TbGAL: a tensor-based library for geometric algebra. (English) Zbl 1433.15004 Adv. Appl. Clifford Algebr. 30, No. 2, Paper No. 27, 33 p. (2020). MSC: 15-04 15A66 68W30 PDFBibTeX XMLCite \textit{E. V. Sousa} and \textit{L. A. F. Fernandes}, Adv. Appl. Clifford Algebr. 30, No. 2, Paper No. 27, 33 p. (2020; Zbl 1433.15004) Full Text: DOI
Hildenbrand, Dietmar; Hrdina, Jaroslav; Návrat, Aleš; Vašík, Petr Local controllability of snake robots based on CRA, theory and practice. (English) Zbl 1457.70005 Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 2, 21 p. (2020). MSC: 70B15 70E60 PDFBibTeX XMLCite \textit{D. Hildenbrand} et al., Adv. Appl. Clifford Algebr. 30, No. 1, Paper No. 2, 21 p. (2020; Zbl 1457.70005) Full Text: DOI
Breuils, Stéphane; Nozick, Vincent; Fuchs, Laurent Garamon: a geometric algebra library generator. (English) Zbl 1422.68329 Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 69, 41 p. (2019). MSC: 68W30 15A66 PDFBibTeX XMLCite \textit{S. Breuils} et al., Adv. Appl. Clifford Algebr. 29, No. 4, Paper No. 69, 41 p. (2019; Zbl 1422.68329) Full Text: DOI HAL
Eid, Ahmad Hosny An extended implementation framework for geometric algebra operations on systems of coordinate frames of arbitrary signature. (English) Zbl 1390.68776 Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 16, 32 p. (2018). MSC: 68W30 15A66 PDFBibTeX XMLCite \textit{A. H. Eid}, Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 16, 32 p. (2018; Zbl 1390.68776) Full Text: DOI
Tørdal, Sondre Sanden; Hovland, Geir; Tyapin, Ilya Efficient implementation of inverse kinematics on a 6-DOF industrial robot using conformal geometric algebra. (English) Zbl 1410.70007 Adv. Appl. Clifford Algebr. 27, No. 3, 2067-2082 (2017). MSC: 70B15 15A66 70E60 PDFBibTeX XMLCite \textit{S. S. Tørdal} et al., Adv. Appl. Clifford Algebr. 27, No. 3, 2067--2082 (2017; Zbl 1410.70007) Full Text: DOI
Du, Juan; Goldman, Ron; Mann, Stephen Modeling 3D geometry in the Clifford algebra \(\mathbb R(4,4)\). (English) Zbl 1386.15045 Adv. Appl. Clifford Algebr. 27, No. 4, 3039-3062 (2017). MSC: 15A66 PDFBibTeX XMLCite \textit{J. Du} et al., Adv. Appl. Clifford Algebr. 27, No. 4, 3039--3062 (2017; Zbl 1386.15045) Full Text: DOI
Tingelstad, Lars; Egeland, Olav Automatic multivector differentiation and optimization. (English) Zbl 1367.65034 Adv. Appl. Clifford Algebr. 27, No. 1, 707-731 (2017). MSC: 65D25 65K05 15A66 90C30 70E15 PDFBibTeX XMLCite \textit{L. Tingelstad} and \textit{O. Egeland}, Adv. Appl. Clifford Algebr. 27, No. 1, 707--731 (2017; Zbl 1367.65034) Full Text: DOI
Hrdina, J.; Návrat, A.; Vašík, P.; Matoušek, R. Geometric control of the trident snake robot based on CGA. (English) Zbl 1364.93149 Adv. Appl. Clifford Algebr. 27, No. 1, 633-645 (2017). MSC: 93B27 93C85 93C10 70F25 15A66 93B05 PDFBibTeX XMLCite \textit{J. Hrdina} et al., Adv. Appl. Clifford Algebr. 27, No. 1, 633--645 (2017; Zbl 1364.93149) Full Text: DOI
Hrdina, Jaroslav; Návrat, Aleš; Vašík, Petr; Matoušek, R. CGA-based robotic snake control. (English) Zbl 1364.93150 Adv. Appl. Clifford Algebr. 27, No. 1, 621-632 (2017). MSC: 93B27 93C10 15A66 93C95 93B05 92B20 PDFBibTeX XMLCite \textit{J. Hrdina} et al., Adv. Appl. Clifford Algebr. 27, No. 1, 621--632 (2017; Zbl 1364.93150) Full Text: DOI
Hildenbrand, D.; Albert, J.; Charrier, P.; Steinmetz, Chr. Geometric algebra computing for heterogeneous systems. (English) Zbl 1367.65030 Adv. Appl. Clifford Algebr. 27, No. 1, 599-620 (2017). MSC: 65D18 15A66 65Y20 65Y04 PDFBibTeX XMLCite \textit{D. Hildenbrand} et al., Adv. Appl. Clifford Algebr. 27, No. 1, 599--620 (2017; Zbl 1367.65030) Full Text: DOI
Franchini, Silvia; Gentile, Antonio; Sorbello, Filippo; Vassallo, Giorgio; Vitabile, Salvatore Embedded coprocessors for native execution of geometric algebra operations. (English) Zbl 1367.15034 Adv. Appl. Clifford Algebr. 27, No. 1, 559-580 (2017). MSC: 15A66 68U05 68W30 PDFBibTeX XMLCite \textit{S. Franchini} et al., Adv. Appl. Clifford Algebr. 27, No. 1, 559--580 (2017; Zbl 1367.15034) Full Text: DOI
Sangwine, Stephen J.; Hitzer, Eckhard Clifford multivector toolbox (for MATLAB). (English) Zbl 1407.68566 Adv. Appl. Clifford Algebr. 27, No. 1, 539-558 (2017). MSC: 68W30 11E88 15A66 PDFBibTeX XMLCite \textit{S. J. Sangwine} and \textit{E. Hitzer}, Adv. Appl. Clifford Algebr. 27, No. 1, 539--558 (2017; Zbl 1407.68566) Full Text: DOI Link
Zhang, Feng; Jiang, Xiaomin; Zhang, Xiaoyi; Wang, Yingzhi; Du, Zhenhong; Liu, Renyi Unified spatial intersection algorithms based on conformal geometric algebra. (English) Zbl 1400.68252 Math. Probl. Eng. 2016, Article ID 7412373, 10 p. (2016). MSC: 68U05 15A66 PDFBibTeX XMLCite \textit{F. Zhang} et al., Math. Probl. Eng. 2016, Article ID 7412373, 10 p. (2016; Zbl 1400.68252) Full Text: DOI
Fuchs, Laurent; Théry, Laurent Implementing geometric algebra products with binary trees. (English) Zbl 1311.68147 Adv. Appl. Clifford Algebr. 24, No. 2, 589-611 (2014). MSC: 68T15 11E88 15A66 PDFBibTeX XMLCite \textit{L. Fuchs} and \textit{L. Théry}, Adv. Appl. Clifford Algebr. 24, No. 2, 589--611 (2014; Zbl 1311.68147) Full Text: DOI
Pollock, Stuart; Mann, Stephen Vortex detection in vector fields using geometric algebra. (English) Zbl 1322.76014 Adv. Appl. Clifford Algebr. 24, No. 2, 423-442 (2014). MSC: 76B47 15A75 76D17 PDFBibTeX XMLCite \textit{S. Pollock} and \textit{S. Mann}, Adv. Appl. Clifford Algebr. 24, No. 2, 423--442 (2014; Zbl 1322.76014) Full Text: DOI
Yuan, Linwang; Yu, Zhaoyuan; Luo, Wen; Yi, Lin; Lü, Guonian Geometric algebra for multidimension-unified geographical information system. (English) Zbl 1286.68470 Adv. Appl. Clifford Algebr. 23, No. 2, 497-518 (2013). MSC: 68U05 15A66 PDFBibTeX XMLCite \textit{L. Yuan} et al., Adv. Appl. Clifford Algebr. 23, No. 2, 497--518 (2013; Zbl 1286.68470) Full Text: DOI
Schott, René; Staples, G. Stacey Operator calculus on graphs. Theory and applications in computer science. (English) Zbl 1264.15025 London: Imperial College Press (ISBN 978-1-84816-876-3/hbk; 978-1-84816-877-0/ebook). xv, 411 p. (2012). Reviewer: Benoît Collins (Ottawa) MSC: 15A66 05C50 33C65 05C81 05C90 81P45 15-02 44A45 68W30 60B15 60G50 PDFBibTeX XMLCite \textit{R. Schott} and \textit{G. S. Staples}, Operator calculus on graphs. Theory and applications in computer science. London: Imperial College Press (2012; Zbl 1264.15025) Full Text: Link
Franchini, Silvia; Gentile, Antonio; Sorbello, Filippo; Vassallo, Giorgio; Vitabile, Salvatore Fixed-size quadruples for a new, hardware-oriented representation of the 4D Clifford algebra. (English) Zbl 1251.15028 Adv. Appl. Clifford Algebr. 21, No. 2, 315-340 (2011). MSC: 15A66 65D18 68U05 68W30 PDFBibTeX XMLCite \textit{S. Franchini} et al., Adv. Appl. Clifford Algebr. 21, No. 2, 315--340 (2011; Zbl 1251.15028) Full Text: DOI
Hildenbrand, Dietmar; Zamora, Julio; Bayro-Corrochano, Eduardo Inverse kinematics computation in computer graphics and robotics using conformal geometric algebra. (English) Zbl 1177.65036 Adv. Appl. Clifford Algebr. 18, No. 3-4, 699-713 (2008). MSC: 65D18 15A66 17B37 20C30 PDFBibTeX XMLCite \textit{D. Hildenbrand} et al., Adv. Appl. Clifford Algebr. 18, No. 3--4, 699--713 (2008; Zbl 1177.65036) Full Text: DOI
Abłamowicz, Rafał (ed.); Sobczyk, Garret (ed.) [Baylis, William E.; Branson, Thomas; Lounesto, Pertti; Porteous, Ian; Ryan, John; Selig, J. M.; Ablamowicz, R.; Sobczyk, G.] Lectures on Clifford (geometric) algebras and applications. (English) Zbl 1058.15033 Boston, MA: Birkhäuser. (ISBN 0-8176-3257-3/pbk). xvii, 221 p. (2004). Reviewer: Waldyr A. Rodrigues (Campinas) MSC: 15A66 11E88 15-06 30G35 83C60 15A75 15-02 PDFBibTeX XML