{"id":{"repo_id":"greece","oai_identifier":"oai:10442/0553"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/0553","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΑΛΓΟΡΙΘΜΟΙ ΠΑΡΕΜΒΟΛΗΣ ΓΙΑ ΜΗΧΑΝΟΥΡΓΙΚΕΣ ΚΑΤΕΡΓΑΣΙΕΣ ΜΕΓΑΛΗΣ ΑΚΡΙΒΕΙΑΣ ΚΑΙ ΠΟΛΥΠΛΟΚΗΣ ΓΕΩΜΕΤΡΙΑΣ","abstract":"IN NUMERICALLY CONTROL SYSTEMS (MACHINE TOOLS, PLOTTERS, ETC), INTERPOLATION ISDEFINED AS THE PROCESS OF SYNTHESIZING A PRESCRIBED CURVE FROM A LARGE NUMBER OF SMALL STEPS. IN THIS THESIS NEW ALGORITHMS ARE PRESENTED FOR INTERPOLATING NON- PARAMETRIC AND PARAMETRIC CURVES AS WELL. ADDITIONALLY, A METHOD BASED ON THE PROPERTIES OF BERTRAND CURVES, IS PROPOSED FOR GENERATING TOOL CENTRE PATHS WITH AN ACCURACY EQUAL TO THE RESOLUTION OF THE MACHINE TOOL. IT IS SHOWN THAT FOR CUBIC SPLINES OF BICUBIC PATCHES, ACCURATE TOOL MOTION CAN BE GENERATED BY A FAST DDA-LIKE (DIGITAL DIFFERENTIAL ANALYZER) DIGITAL INTEGRATION SCHEME.","abstract_html":"IN NUMERICALLY CONTROL SYSTEMS (MACHINE TOOLS, PLOTTERS, ETC), INTERPOLATION ISDEFINED AS THE PROCESS OF SYNTHESIZING A PRESCRIBED CURVE FROM A LARGE NUMBER OF SMALL STEPS. IN THIS THESIS NEW ALGORITHMS ARE PRESENTED FOR INTERPOLATING NON- PARAMETRIC AND PARAMETRIC CURVES AS WELL. ADDITIONALLY, A METHOD BASED ON THE PROPERTIES OF BERTRAND CURVES, IS PROPOSED FOR GENERATING TOOL CENTRE PATHS WITH AN ACCURACY EQUAL TO THE RESOLUTION OF THE MACHINE TOOL. IT IS SHOWN THAT FOR CUBIC SPLINES OF BICUBIC PATCHES, ACCURATE TOOL MOTION CAN BE GENERATED BY A FAST DDA-LIKE (DIGITAL DIFFERENTIAL ANALYZER) DIGITAL INTEGRATION SCHEME.","abstract_has_math":false,"creators":["Kiritsis, Dimitrios","Κυρίτσης, Δημήτρης"],"institution":"University of Patras","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1987,"date_issued":"1987","date_published":"1987","updated_at":"2026-07-24T02:25:21Z","subjects":["ΑΡΙΘΜΗΤΙΚΟΣ ΕΛΕΓΧΟΣ","ΒΗΜΑΤΙΚΗ ΠΑΡΕΜΒΟΛΗ","ΚΑΜΠΥΛΕΣ BERTRAND","Μαθηματικός προγραμματισμός","Παρεμβολή","Ψηφιακά συστήματα","ΨΗΦΙΑΚΟΙ ΟΛΟΚΛΗΡΩΤΕΣ","BETRAND CURVES","DIGITAL INTEGRATORS","Digital systems","INCREMENTAL INTERPOLATION","Interpolation","Mathematical programming","NUMERICAL CONTROL","SPLINES","Επιστήμες Μηχανικού και Τεχνολογία","Επιστήμη Μηχανολόγου Μηχανικού","Engineering and Technology","Mechanical Engineering"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0553"],"render_values":[{"text":"10.12681/eadd/0553","href":"https://doi.org/10.12681/eadd/0553","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/0553","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Kiritsis, Dimitrios","Κυρίτσης, Δημήτρης"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1987"]},{"key":"dc:publisher","label":"Institution","values":["University of Patras","Πανεπιστήμιο Πατρών"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ΑΡΙΘΜΗΤΙΚΟΣ ΕΛΕΓΧΟΣ","ΒΗΜΑΤΙΚΗ ΠΑΡΕΜΒΟΛΗ","ΚΑΜΠΥΛΕΣ BERTRAND","Μαθηματικός προγραμματισμός","Παρεμβολή","Ψηφιακά συστήματα","ΨΗΦΙΑΚΟΙ ΟΛΟΚΛΗΡΩΤΕΣ","BETRAND CURVES","DIGITAL INTEGRATORS","Digital systems","INCREMENTAL INTERPOLATION","Interpolation","Mathematical programming","NUMERICAL CONTROL","SPLINES","Επιστήμες Μηχανικού και Τεχνολογία","Επιστήμη Μηχανολόγου Μηχανικού","Engineering and Technology","Mechanical Engineering"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["gre"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0553","http://hdl.handle.net/10442/hedi/0553"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["IN NUMERICALLY CONTROL SYSTEMS (MACHINE TOOLS, PLOTTERS, ETC), INTERPOLATION ISDEFINED AS THE PROCESS OF SYNTHESIZING A PRESCRIBED CURVE FROM A LARGE NUMBER OF SMALL STEPS. IN THIS THESIS NEW ALGORITHMS ARE PRESENTED FOR INTERPOLATING NON- PARAMETRIC AND PARAMETRIC CURVES AS WELL. ADDITIONALLY, A METHOD BASED ON THE PROPERTIES OF BERTRAND CURVES, IS PROPOSED FOR GENERATING TOOL CENTRE PATHS WITH AN ACCURACY EQUAL TO THE RESOLUTION OF THE MACHINE TOOL. IT IS SHOWN THAT FOR CUBIC SPLINES OF BICUBIC PATCHES, ACCURATE TOOL MOTION CAN BE GENERATED BY A FAST DDA-LIKE (DIGITAL DIFFERENTIAL ANALYZER) DIGITAL INTEGRATION SCHEME.","ΣΤΑ ΣΥΣΤΗΜΑΤΑ ΑΡΙΘΜΗΤΙΚΟΥ ΕΛΕΓΧΟΥ (ΕΡΓΑΛΕΙΟΜΗΧΑΝΕΣ, ΣΧΕΔΙΑΣΤΙΚΕΣ ΜΗΧΑΝΕΣ ΚΛΠ), Η ΠΑΡΕΜΒΟΛΗ ΟΡΙΖΕΤΑΙ ΣΑΝ Η ΔΙΑΔΙΚΑΣΙΑ ΣΥΝΘΕΣΗΣ ΜΙΑΣ ΓΝΩΣΤΗΣ ΚΑΜΠΥΛΗΣ ΑΠΟ ΕΝΑ ΜΕΓΑΛΟ ΑΡΙΘΜΟ ΣΤΟΙΧΕΙΩΔΩΝ ΒΗΜΑΤΩΝ. ΣΤΗ ΔΙΑΤΡΙΒΗ ΑΥΤΗ ΑΝΑΠΤΥΣΣΟΝΤΑΙ ΝΕΟΙ ΑΛΓΟΡΙΘΜΟΙ ΠΑΡΕΜΒΟΛΗΣ ΜΗ- ΠΑΡΑΜΕΤΡΙΚΩΝ ΚΑΙ ΠΑΡΑΜΕΤΡΙΚΩΝ ΚΑΜΠΥΛΩΝ. ΕΠΙΣΗΣ, ΜΙΑ ΝΕΑ ΜΕΘΟΔΟΣ, ΠΟΥ ΒΑΣΙΖΕΤΑΙ ΣΤΙΣ ΙΔΙΟΤΗΤΕΣ ΤΩΝ ΚΑΜΠΥΛΩΝ BERTRAND, ΠΡΟΤΕΙΝΕΤΑΙ ΓΙΑ ΤΟΝ ΥΠΟΛΟΓΙΣΜΟ ΤΗΣ ΔΙΑΔΡΟΜΗΣ ΚΙΝΗΣΗΣ ΤΟΥ ΕΡΓΑΛΕΙΟΥ ΜΕ ΑΚΡΙΒΕΙΑ ΙΣΗ ΜΕ ΤΗΝ ΔΙΑΚΡΙΤΙΚΗ ΙΚΑΝΟΤΗΤΑ ΤΗΣ ΕΡΓΑΛΕΙΟΜΗΧΑΝΗΣ. ΑΠΟΔΕΙΚΝΥΕΤΑΙ ΟΤΙ ΓΙΑ ΚΥΒΙΚΑ ΤΟΞΑ (CUBIC SELINES),'Η ΚΥΒΙΚΑ ΣΤΟΙΧΕΙΑ ΕΠΙΦΑΝΕΙΑΣ (BICUBIC PATCHES), Η ΚΙΝΗΣΗ ΤΟΥ ΕΡΓΑΛΕΙΟΥ ΜΠΟΡΕΙΝΑ ΕΛΕΓΧΘΕΙ ΜΕ ΑΚΡΙΒΕΙΑ ΑΠΟ ΕΝΑ ΨΗΦΙΑΚΟ ΚΥΚΛΩΜΑ ΠΑΡΟΜΟΙΟ ΜΕ ΑΥΤΟ ΤΟΥ ΨΗΦΙΑΚΟΥ ΔΙΑΦΟΡΙΚΟΥ ΑΝΑΛΥΤΗ (DDA)."]},{"key":"dc:title","label":"Title","values":["ΑΛΓΟΡΙΘΜΟΙ ΠΑΡΕΜΒΟΛΗΣ ΓΙΑ ΜΗΧΑΝΟΥΡΓΙΚΕΣ ΚΑΤΕΡΓΑΣΙΕΣ ΜΕΓΑΛΗΣ ΑΚΡΙΒΕΙΑΣ ΚΑΙ ΠΟΛΥΠΛΟΚΗΣ ΓΕΩΜΕΤΡΙΑΣ","INTERPOLATION ALGORITHMS FOR MACHINING HIGH ACCURACY COMPLEX SHAPES"]}]}],"canonical_facts":{"dc:creator":["Kiritsis, Dimitrios","Κυρίτσης, Δημήτρης"],"dc:date":["1987"],"dc:description":["IN NUMERICALLY CONTROL SYSTEMS (MACHINE TOOLS, PLOTTERS, ETC), INTERPOLATION ISDEFINED AS THE PROCESS OF SYNTHESIZING A PRESCRIBED CURVE FROM A LARGE NUMBER OF SMALL STEPS. IN THIS THESIS NEW ALGORITHMS ARE PRESENTED FOR INTERPOLATING NON- PARAMETRIC AND PARAMETRIC CURVES AS WELL. ADDITIONALLY, A METHOD BASED ON THE PROPERTIES OF BERTRAND CURVES, IS PROPOSED FOR GENERATING TOOL CENTRE PATHS WITH AN ACCURACY EQUAL TO THE RESOLUTION OF THE MACHINE TOOL. IT IS SHOWN THAT FOR CUBIC SPLINES OF BICUBIC PATCHES, ACCURATE TOOL MOTION CAN BE GENERATED BY A FAST DDA-LIKE (DIGITAL DIFFERENTIAL ANALYZER) DIGITAL INTEGRATION SCHEME.","ΣΤΑ ΣΥΣΤΗΜΑΤΑ ΑΡΙΘΜΗΤΙΚΟΥ ΕΛΕΓΧΟΥ (ΕΡΓΑΛΕΙΟΜΗΧΑΝΕΣ, ΣΧΕΔΙΑΣΤΙΚΕΣ ΜΗΧΑΝΕΣ ΚΛΠ), Η ΠΑΡΕΜΒΟΛΗ ΟΡΙΖΕΤΑΙ ΣΑΝ Η ΔΙΑΔΙΚΑΣΙΑ ΣΥΝΘΕΣΗΣ ΜΙΑΣ ΓΝΩΣΤΗΣ ΚΑΜΠΥΛΗΣ ΑΠΟ ΕΝΑ ΜΕΓΑΛΟ ΑΡΙΘΜΟ ΣΤΟΙΧΕΙΩΔΩΝ ΒΗΜΑΤΩΝ. ΣΤΗ ΔΙΑΤΡΙΒΗ ΑΥΤΗ ΑΝΑΠΤΥΣΣΟΝΤΑΙ ΝΕΟΙ ΑΛΓΟΡΙΘΜΟΙ ΠΑΡΕΜΒΟΛΗΣ ΜΗ- ΠΑΡΑΜΕΤΡΙΚΩΝ ΚΑΙ ΠΑΡΑΜΕΤΡΙΚΩΝ ΚΑΜΠΥΛΩΝ. ΕΠΙΣΗΣ, ΜΙΑ ΝΕΑ ΜΕΘΟΔΟΣ, ΠΟΥ ΒΑΣΙΖΕΤΑΙ ΣΤΙΣ ΙΔΙΟΤΗΤΕΣ ΤΩΝ ΚΑΜΠΥΛΩΝ BERTRAND, ΠΡΟΤΕΙΝΕΤΑΙ ΓΙΑ ΤΟΝ ΥΠΟΛΟΓΙΣΜΟ ΤΗΣ ΔΙΑΔΡΟΜΗΣ ΚΙΝΗΣΗΣ ΤΟΥ ΕΡΓΑΛΕΙΟΥ ΜΕ ΑΚΡΙΒΕΙΑ ΙΣΗ ΜΕ ΤΗΝ ΔΙΑΚΡΙΤΙΚΗ ΙΚΑΝΟΤΗΤΑ ΤΗΣ ΕΡΓΑΛΕΙΟΜΗΧΑΝΗΣ. ΑΠΟΔΕΙΚΝΥΕΤΑΙ ΟΤΙ ΓΙΑ ΚΥΒΙΚΑ ΤΟΞΑ (CUBIC SELINES),'Η ΚΥΒΙΚΑ ΣΤΟΙΧΕΙΑ ΕΠΙΦΑΝΕΙΑΣ (BICUBIC PATCHES), Η ΚΙΝΗΣΗ ΤΟΥ ΕΡΓΑΛΕΙΟΥ ΜΠΟΡΕΙΝΑ ΕΛΕΓΧΘΕΙ ΜΕ ΑΚΡΙΒΕΙΑ ΑΠΟ ΕΝΑ ΨΗΦΙΑΚΟ ΚΥΚΛΩΜΑ ΠΑΡΟΜΟΙΟ ΜΕ ΑΥΤΟ ΤΟΥ ΨΗΦΙΑΚΟΥ ΔΙΑΦΟΡΙΚΟΥ ΑΝΑΛΥΤΗ (DDA)."],"dc:identifier":["10.12681/eadd/0553","http://hdl.handle.net/10442/hedi/0553"],"dc:language":["gre"],"dc:publisher":["University of Patras","Πανεπιστήμιο Πατρών"],"dc:subject":["ΑΡΙΘΜΗΤΙΚΟΣ ΕΛΕΓΧΟΣ","ΒΗΜΑΤΙΚΗ ΠΑΡΕΜΒΟΛΗ","ΚΑΜΠΥΛΕΣ BERTRAND","Μαθηματικός προγραμματισμός","Παρεμβολή","Ψηφιακά συστήματα","ΨΗΦΙΑΚΟΙ ΟΛΟΚΛΗΡΩΤΕΣ","BETRAND CURVES","DIGITAL INTEGRATORS","Digital systems","INCREMENTAL INTERPOLATION","Interpolation","Mathematical programming","NUMERICAL CONTROL","SPLINES","Επιστήμες Μηχανικού και Τεχνολογία","Επιστήμη Μηχανολόγου Μηχανικού","Engineering and Technology","Mechanical Engineering"],"dc:title":["ΑΛΓΟΡΙΘΜΟΙ ΠΑΡΕΜΒΟΛΗΣ ΓΙΑ ΜΗΧΑΝΟΥΡΓΙΚΕΣ ΚΑΤΕΡΓΑΣΙΕΣ ΜΕΓΑΛΗΣ ΑΚΡΙΒΕΙΑΣ ΚΑΙ ΠΟΛΥΠΛΟΚΗΣ ΓΕΩΜΕΤΡΙΑΣ","INTERPOLATION ALGORITHMS FOR MACHINING HIGH ACCURACY COMPLEX SHAPES"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:25:21Z"}