Symmetries and Differential Equations (G. W. Bluman and S. Kumei). - Peter J. Olver (SIAM Rev., 1990)

Differential Equations: Their Solution Using Symmetries (Hans Stephani) (Malcolm MacCallum, ed.). - Peter J. Olver (SIAM Rev., 1991)

Geometrical Aspects of Partial Differential Equations (V. V. Zharinov). - Peter J. Olver (SIAM Rev., 1993)

Differential Invariant Signatures and Flows in Computer Vision: A Symmetry Group Approach. - Peter J. Olver; Guillermo Sapiro; Allen R. Tannenbaum (Geometry-Driven Diffusion in Computer Vision, 1994)

Gradient Flows and Geometric Active Contour Models. - Satyanad Kichenassamy; Arun Kumar 009; Peter J. Olver; Allen R. Tannenbaum; Anthony J. Yezzi (ICCV, 1995)

Affine Invariant Detection: Edges, Active Contours, and Segments. - Peter J. Olver; Guillermo Sapiro; Allen R. Tannenbaum (CVPR, 1996)

Invariant Geometric Evolutions of Surfaces and Volumetric Smoothing. - Allen R. Tannenbaum; Guillermo Sapiro; Peter J. Olver (SIAM J. Appl. Math., 1997)

A Geometric Snake Model for Segmentation of Medical Imagery. - Anthony J. Yezzi; Satyanad Kichenassamy; Arun Kumar 009; Peter J. Olver; Allen R. Tannenbaum (IEEE Trans. Medical Imaging, 1997)

Differential and Numerically Invariant Signature Curves Applied to Object Recognition. - Eugenio Calabi; Peter J. Olver; Chehrzad Shakiban; Allen R. Tannenbaum; Steven Haker (Int. J. Comput. Vis., 1998)

Transvectants, Modular Forms, and the Heisenberg Algebra. - Peter J. Olver; Jan A. Sanders (Adv. Appl. Math., 2000)

Symmetries of Polynomials. - Irina Berchenko; Peter J. Olver (J. Symb. Comput., 2000)

Geometric Foundations of Numerical Algorithms and Symmetry. - Peter J. Olver (Appl. Algebra Eng. Commun. Comput., 2001)

Joint Invariant Signatures. - Peter J. Olver (Found. Comput. Math., 2001)

Geometric Integration Algorithms on Homogeneous Manifolds. - Debra Lewis; Peter J. Olver (Found. Comput. Math., 2002)

Moving frames. - Peter J. Olver (J. Symb. Comput., 2003)

A Survey of Moving Frames. - Peter J. Olver (IWMM/GIAE, 2004)

Numerical Invariantization for Morphological PDE Schemes. - Martin Welk; Pilwon Kim; Peter J. Olver (SSVM, 2007)

Generalized transvectants and Siegel modular forms. - Peter J. Olver; Michel Petitot; Patrick Solé (Adv. Appl. Math., 2007)

Algorithms for Differential Invariants of Symmetry Groups of Differential Equations. - Jeongoo Cheh; Peter J. Olver; Juha Pohjanpelto (Found. Comput. Math., 2008)

Dispersive Quantization. - Peter J. Olver (Am. Math. Mon., 2010)

Invariant Histograms. - Daniel Brinkman; Peter J. Olver (Am. Math. Mon., 2012)

Extensions of Invariant Signatures for Object Recognition. - Daniel J. Hoff; Peter J. Olver (J. Math. Imaging Vis., 2013)

Automatic Solution of Jigsaw Puzzles. - Daniel J. Hoff; Peter J. Olver (J. Math. Imaging Vis., 2014)

Invariants of objects and their images under surjective maps. - Irina A. Kogan; Peter J. Olver (CoRR, 2015)

Automatic Reassembly of Three-Dimensional Jigsaw Puzzles. - Anna Grim; Timothy O'Connor; Peter J. Olver; Chehrzad Shakiban; Ryan Slechta; Robert Thompson 007 (Int. J. Image Graph., 2016)

Liouville Correspondence Between the Modified KdV Hierarchy and Its Dual Integrable Hierarchy. - Jing Kang; Xiaochuan Liu; Peter J. Olver; Changzheng Qu (J. Nonlinear Sci., 2016)

Affine Differential Invariants for Invariant Feature Point Detection. - Stanley L. Tuznik; Peter J. Olver; Allen R. Tannenbaum (CoRR, 2018)

The n Body Matrix and Its Determinant. - Darij Grinberg; Peter J. Olver (SIAM J. Appl. Algebra Geom., 2019)

The Virtual Goniometer: A new method for measuring angles on 3D models of fragmentary bone and lithics. - Katrina Yezzi-Woodley; Jeff Calder; Peter J. Olver; Annie Melton; Paige Cody; Thomas Huffstutler; Alexander Terwilliger; Martha Tappen; Reed Coil; Gilbert Tostevin (CoRR, 2020)

Computation of Circular Area and Spherical Volume Invariants via Boundary Integrals. - Riley C. W. O'Neill; Pedro Angulo-Umana; Jeff Calder; Bo Hessburg; Peter J. Olver; Chehrzad Shakiban; Katrina Yezzi-Woodley (SIAM J. Imaging Sci., 2020)

The Batch Artifact Scanning Protocol: A new method using computed tomography (CT) to rapidly create three-dimensional models of objects from large collections en masse. - Katrina Yezzi-Woodley; Jeff Calder; Mckenzie Sweno; Chloe Siewert; Peter J. Olver (CoRR, 2022)

Using machine learning on new feature sets extracted from 3D models of broken animal bones to classify fragments according to break agent. - Katrina Yezzi-Woodley; Alexander Terwilliger; Jiafeng Li; Eric Chen; Martha Tappen; Jeff Calder; Peter J. Olver (CoRR, 2022)

Use and Misuse of Machine Learning in Anthropology. - Jeff Calder; Reed Coil; Annie Melton; Peter J. Olver; Gilbert Tostevin; Katrina Yezzi-Woodley (CoRR, 2022)

On the Structure and Generators of Differential Invariant Algebras. - Peter J. Olver (CASC, 2023)

En masse scanning and automated surfacing of small objects using Micro-CT. - Riley C. W. O'Neill; Katrina Yezzi-Woodley; Jeff Calder; Peter J. Olver (CoRR, 2024)

New Revival Phenomena for Bidirectional Dispersive Hyperbolic Equations. - George Farmakis; Jing Kang; Peter J. Olver; Changzheng Qu; Zihan Yin (J. Nonlinear Sci., 2025)