@article{MTMT:31989219,
	title = {Caustics of developable surfaces},
	url = {https://m2.mtmt.hu/api/publication/31989219},
	author = {Hoffmann, Miklós and Juhász, Imre and Troll, Ede Mátyás},
	doi = {10.1631/FITEE.2000613},
	journal-iso = {FRONT INFORM TECH EL},
	journal = {FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING},
	volume = {23},
	unique-id = {31989219},
	issn = {2095-9184},
	abstract = {While considering a mirror and light rays coming either from a point source or from infinity, the reflected light rays may have an envelope, called a caustic curve. In this paper, we study developable surfaces as mirrors. These caustic surfaces, described in a closed form, are also developable surfaces of the same type as the original mirror surface. We provide efficient, algorithmic computation to find the caustic surface of each of the three types of developable surfaces (cone, cylinder, and tangent surface of a spatial curve). We also provide a potential application of the results in contemporary free-form architecture design.},
	keywords = {Developable surface; Caustics; O43; Reflected light rays; Curve of regression},
	year = {2022},
	eissn = {2095-9230},
	pages = {479-487},
	orcid-numbers = {Hoffmann, Miklós/0000-0001-8846-232X; Juhász, Imre/0000-0003-3066-0301}
}

@article{MTMT:31992746,
	title = {A NURBS transition between a Bézier curve and its control polygon},
	url = {https://m2.mtmt.hu/api/publication/31992746},
	author = {Juhász, Imre},
	doi = {10.1016/j.cam.2021.113626},
	journal-iso = {J COMPUT APPL MATH},
	journal = {JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS},
	volume = {396},
	unique-id = {31992746},
	issn = {0377-0427},
	year = {2021},
	eissn = {1879-1778},
	orcid-numbers = {Juhász, Imre/0000-0003-3066-0301}
}

@article{MTMT:31023261,
	title = {On the caustics of Bézier curves},
	url = {https://m2.mtmt.hu/api/publication/31023261},
	author = {Juhász, Imre},
	doi = {10.33039/ami.2019.11.001},
	journal-iso = {ANN MATH INFORM},
	journal = {ANNALES MATHEMATICAE ET INFORMATICAE},
	volume = {50},
	unique-id = {31023261},
	issn = {1787-5021},
	year = {2019},
	eissn = {1787-6117},
	pages = {93-100},
	orcid-numbers = {Juhász, Imre/0000-0003-3066-0301}
}

@article{MTMT:30324099,
	title = {Adjusting the energies of curves defined by control points},
	url = {https://m2.mtmt.hu/api/publication/30324099},
	author = {Juhász, Imre and Róth, Ágoston-István},
	doi = {10.1016/j.cad.2018.09.003},
	journal-iso = {COMPUT AIDED DESIGN},
	journal = {COMPUTER-AIDED DESIGN},
	volume = {107},
	unique-id = {30324099},
	issn = {0010-4485},
	year = {2019},
	eissn = {1879-2685},
	pages = {77-88},
	orcid-numbers = {Juhász, Imre/0000-0003-3066-0301}
}

@inproceedings{MTMT:30352834,
	title = {A G^1 closed elliptic spline curve},
	url = {https://m2.mtmt.hu/api/publication/30352834},
	author = {Juhász, Imre},
	booktitle = {IX. magyar számítógépes grafika és geometria konferencia, GRAFGEO 2018},
	unique-id = {30352834},
	year = {2018},
	pages = {27-30},
	orcid-numbers = {Juhász, Imre/0000-0003-3066-0301}
}

@inproceedings{MTMT:30350166,
	title = {A Bézier-Like Curve with Two Shape Parameters},
	url = {https://m2.mtmt.hu/api/publication/30350166},
	author = {Juhász, Imre},
	booktitle = {2018 22nd International Conference on Information Visualisation},
	doi = {10.1109/iV.2018.00108},
	unique-id = {30350166},
	year = {2018},
	pages = {604-609},
	orcid-numbers = {Juhász, Imre/0000-0003-3066-0301}
}

@article{MTMT:3315253,
	title = {Gardener’s spline curve},
	url = {https://m2.mtmt.hu/api/publication/3315253},
	author = {Juhász, Imre},
	journal-iso = {ANN MATH INFORM},
	journal = {ANNALES MATHEMATICAE ET INFORMATICAE},
	volume = {47},
	unique-id = {3315253},
	issn = {1787-5021},
	year = {2017},
	eissn = {1787-6117},
	pages = {109-118},
	orcid-numbers = {Juhász, Imre/0000-0003-3066-0301}
}

@article{MTMT:2995391,
	title = {On geometric Hermite arcs},
	url = {https://m2.mtmt.hu/api/publication/2995391},
	author = {Juhász, Imre},
	journal-iso = {ANN MATH INFORM},
	journal = {ANNALES MATHEMATICAE ET INFORMATICAE},
	volume = {45},
	unique-id = {2995391},
	issn = {1787-5021},
	abstract = {A geometric Hermite arc is a cubic curve in the plane that is specified by its endpoints along with unit tangent vectors and signed curvatures at them. This problem has already been solved by means of numerical procedures. Based on projective geometric considerations, we deduce the problem to finding the base points of a pencil of conics, that reduces the original quartic problem to a cubic one that easier can exactly be solved. A simple solvability criterion is also provided. © 2015, Eszterhazy Karoly College. All rights reserved.},
	keywords = {Geometric constraint; Pencil of conincs; Hermite arc},
	year = {2015},
	eissn = {1787-6117},
	pages = {61-68},
	orcid-numbers = {Juhász, Imre/0000-0003-3066-0301}
}

@article{MTMT:2701166,
	title = {A control point based curve with two exponential shape parameters},
	url = {https://m2.mtmt.hu/api/publication/2701166},
	author = {Hoffmann, Miklós and Juhász, Imre and Károlyi, Gyula},
	doi = {10.1007/s10543-014-0468-2},
	journal-iso = {BIT},
	journal = {BIT NUMERICAL MATHEMATICS},
	volume = {54},
	unique-id = {2701166},
	issn = {0006-3835},
	abstract = {A generalization of a recently developed trigonometric Bézier curve is presented in this paper. The set of original basis functions are generalized also for non-trigonometric functions, and essential properties, such as linear independence, nonnegativity and partition of unity are proved. The new curve-contrary to the original one-can be defined by arbitrary number of control points meanwhile it preserves the properties of the original curve. © 2014 Springer Science+Business Media Dordrecht.},
	keywords = {Blending functions; Shape parameters; Generalized Bézier curve},
	year = {2014},
	eissn = {1572-9125},
	pages = {691-710},
	orcid-numbers = {Hoffmann, Miklós/0000-0001-8846-232X; Juhász, Imre/0000-0003-3066-0301; Károlyi, Gyula/0000-0002-6711-7866}
}

@inproceedings{MTMT:2547772,
	title = {A generalization of the Overhauser spline},
	url = {https://m2.mtmt.hu/api/publication/2547772},
	author = {Juhász, Imre and Róth, Ágoston-István},
	booktitle = {VII. Magyar Számítógépes Grafika és Geometria Konferencia},
	unique-id = {2547772},
	year = {2014},
	pages = {52-59},
	orcid-numbers = {Juhász, Imre/0000-0003-3066-0301}
}