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Descrizione delle misure lineari ed angolari

Rappresentazione scalare dei tracciati condilari

Descrizione delle distanze e delle direzioni

Di seguito sono riportate le distanze calcolate tra i punti rispetto al punto di partenza (punto 1) considerato il unto di riferimento essendo la mandibola in una posizione di Massima Intercuspidazione e le relative direzioni nello spazio, utilizzando le coordinate corrette per gli assi Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle X} (antero-posteriore) e Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Y} (latero-mediale).

Calcolo delle distanze tra i punti

    • Coordinate dei punti:**
      • 1L**: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (63.1721, -59.6914)}
      • 2L**: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (62.9,-76.6) }
      • 3L**: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (57.1, -108.3)}
      • 4L**: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (56.5, -124.6)}
      • 5L**: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (54.1, -93.3)}
      • 6L**: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (54.7, -53.4)}
      • 7L**: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (57.7,-50.8)}
      • 8L**: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (60.2,-56.6)}
    • Fattore di conversione:** Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 0.1007 \, \text{mm/pixel}}
    • Distanze rispetto a 1L:**
      • 2L**:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = \sqrt{(62.9 - 63.1721)^2 + (-76.6 - (-59.6914))^2} = \sqrt{(-0.2721)^2 + (-16.9086)^2} \approx 16.91 \, \text{pixel}} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = 16.91 \cdot 0.1007 \approx 1.70 \text{mm}}

      • 3L**:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = \sqrt{(57.1 - 63.1721)^2 + (-108.3 - (-59.6914))^2} = \sqrt{(-6.0721)^2 + (-48.6086)^2} \approx 48.97 \, \text{pixel}} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = 48.97 \cdot 0.1007 \approx 4.93 \text{mm}}

      • 4L**:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = \sqrt{(56.5 - 63.1721)^2 + (-124.6 - (-59.6914))^2} = \sqrt{(-6.6721)^2 + (-64.9086)^2} \approx 65.25 \, \text{pixel}} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = 65.25 \cdot 0.1007 \approx 6.57 \, \text{mm}}

      • 5L**:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = \sqrt{(54.1 - 63.1721)^2 + (-93.3 - (-59.6914))^2} = \sqrt{(-9.0721)^2 + (-33.6086)^2} \approx 34.81 \, \text{pixel}} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = 34.81 \cdot 0.1007 \approx 3.51 \, \text{mm}}

      • 6L**:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = \sqrt{(54.7 - 63.1721)^2 + (-53.4 - (-59.6914))^2} = \sqrt{(-8.4721)^2 + (6.2914)^2} \approx 10.64 \, \text{pixel}} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = 10.64 \cdot 0.1007 \approx 1.07 \, \text{mm}}

      • 7L**:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = \sqrt{(57.7 - 63.1721)^2 + (-50.8 - (-59.6914))^2} = \sqrt{(-5.4721)^2 + (8.8914)^2} \approx 10.45 \, \text{pixel}} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = 10.45 \cdot 0.1007 \approx 1.05 \, \text{mm}}

      • 8L**:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = \sqrt{(60.2 - 63.1721)^2 + (-56.6 - (-59.6914))^2} = \sqrt{(-2.9721)^2 + (3.0914)^2} \approx 4.29 \, \text{pixel}} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle d = 4.29 \cdot 0.1007 \approx 0.43 \, \text{mm}}

    • Tabella riepilogativa:**
Distanze rispetto a 1L
Punto Distanza (pixel) Distanza (mm)
2L Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 16.91} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 1.70}
3L Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 48.97} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 4.93}
4L Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 65.25} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 6.57}
5L Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 34.81} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3.51}
6L Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 10.64} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 1.07}
7L Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 10.45} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 1.05}
8L Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 4.29} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 0.43}



e così via per le altre zone di misurazione. Info.pngL'obiettivo dell'analisi è determinare l'angolo tra due movimenti all'interno di un sistema articolare, in particolare nell'area di studio della cinematica masticatoria. La comprensione di questi angoli ci consente di: Valutare la dinamica mandibolare: Calcolare gli angoli tra i segmenti mandibolari può fornire informazioni essenziali su come la mandibola si sposta durante il movimento, aiutando a descrivere i pattern del movimento articolare. Modellare la biomeccanica del sistema masticatorio: Gli angoli tra i punti permettono di costruire modelli accurati che simulano il comportamento meccanico del sistema mandibolare, utilizzabili in applicazioni cliniche per diagnosi e trattamenti. Confrontare con angoli standard: Gli angoli misurati possono essere confrontati con valori normali o patologici per identificare eventuali alterazioni nei movimenti mandibolari che potrebbero indicare disturbi dell'articolazione temporomandibolare (ATM). Questo calcolo è fondamentale per fornire una descrizione matematica precisa della cinetica mandibolare e per migliorare la modellazione biomeccanica di strutture orofacciali, cruciali per la diagnosi e l'intervento clinico.

A questo punto non ci resta altro da fare che rappresentare e simulare la posizione spaziale dei punti dinamici marcati dalla figura, quantificandone lo spostamento lineare ed angolare.

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