The patient was a 27-year-old woman with a condylar osteoma measuring approximately 2.5 cm × 2.5 cm × 1.5 cm. The procedure was completed under navigation guidance without intraoperative complications. The operative time was approximately 60 min, and the estimated intraoperative blood loss was approximately 70 mL. These observations support the technical feasibility of the workflow in this single case. A postoperative CBCT examination was performed 1 week after surgery. Long-term imaging follow-up has not yet been completed because the patient subsequently began orthodontic treatment; however, clinical follow-up is ongoing.
The iterative closest-point (ICP) algorithm represents an innovative method for evaluating the accuracy of maxillofacial bone surgery and virtual surgical planning7,9. Postoperative 3D accuracy analysis was performed by best-fit superimposition of the preoperative virtual surgical planning model and the postoperative reconstructed model using the iterative closest-point algorithm. The subsequent surface-deviation analysis demonstrated a mean signed deviation of −0.285 mm, with a standard deviation of 0.757 mm and a root-mean-square (RMS) deviation of 0.809 mm. Local extreme deviations ranged from −3.225 mm to +3.124 mm (Figure 10D).
The deviation-distribution analysis showed that the surface deviations were predominantly concentrated near zero, with a slight shift toward the negative direction (Figure 10C). Using a predefined tolerance range of ±0.25 mm, 30.12% of the analyzed surface points were within the tolerance range, whereas 10.11% were above the positive tolerance threshold and 59.77% were below the negative tolerance threshold. These findings indicate a predominance of negative surface deviations relative to the planned model.
The 3D color-coded surface-deviation maps further demonstrated the spatial distribution of these discrepancies (Figure 10A,B). Localized positive and negative deviations were observed in different regions of the condylar and mandibular surfaces, whereas the overall quantitative analysis demonstrated an RMS deviation of approximately 0.81 mm.
Overall, the postoperative model showed close 3D correspondence with the virtual surgical plan, with an RMS surface deviation of 0.809 mm; however, localized deviations were present in specific anatomical regions.

Figure 1: Three-dimensional reconstruction of the surgical instrument and design of the customized instrument-tracking reference frame. (A) Digital three-dimensional (3D) model of the piezoelectric osteotome reconstructed from physical measurements. (B) Customized instrument-tracking reference frame designed to rigidly attach to the surgical instrument and accommodate passive reflective spheres for optical tracking. Please click here to view a larger version of this figure.

Figure 2: Intraoral scanning of the mandibular dentition. Three-dimensional (3D) intraoral scan of the mandibular dental arch acquired for subsequent registration with the computed tomography (CT)-derived mandibular model and design of the tooth-supported patient-tracking reference frame. Please click here to view a larger version of this figure.

Figure 3: Preoperative computed tomography and three-dimensional reconstruction of the mandibular condylar osteoma. (A–C) Preoperative computed tomography (CT) images in the coronal, axial, and sagittal planes, respectively. (D–F) Corresponding reconstructed three-dimensional (3D) views in the coronal, axial, and sagittal orientations, respectively, showing the spatial relationship between the mandibular condyle, osteoma, and adjacent anatomical structures. Please click here to view a larger version of this figure.

Figure 4: Virtual surgical planning for mandibular condylar osteoma resection. (A,B) Anterior views before and after simulated osteoma resection during virtual surgical planning (VSP). (C,D) Superior views before and after simulated resection. The osteoma is shown in blue, the mandible in yellow, and the adjacent vascular structures in red. The planned osteotomy margin was designed to achieve complete lesion removal while preserving the surrounding normal condylar structures. Please click here to view a larger version of this figure.

Figure 5: Design and three-dimensional printing of the tooth-supported patient-tracking reference frame. (A) Preoperative virtual design of the customized patient-tracking reference frame. (B) Three-dimensional (3D) printed patient-tracking reference frame. The white arrow indicates the mandibular dentition, the red arrow indicates the supporting arm, the green arrow indicates the reference frame, and the blue arrow indicates the passive reflective spheres used for optical tracking. Please click here to view a larger version of this figure.

Figure 6: Hemispherical registration depressions and dynamic navigation project configuration. (A,B) Red dots indicate the registration dimples, while blue dots indicate the tool center point (TCP). Please click here to view a larger version of this figure.

Figure 7: Intraoperative surgical instruments and dynamic navigation setup. The figure shows the main components of the intraoperative dynamic navigation system. The red arrow indicates the piezoelectric osteotome equipped with the customized instrument-tracking reference frame, the white arrow indicates the binocular infrared optical tracking camera, and the blue arrow indicates the computer workstation used for real-time navigation visualization. Please click here to view a larger version of this figure.

Figure 8: Intraoral condylar osteoma resection under dynamic navigation guidance. (A) Intraoral surgical approach and exposure of the condylar osteoma; the white dashed region indicates the lesion. (B) Osteotomy and tumor resection using the piezoelectric osteotome. (C) Intraoperative spatial arrangement of the patient-tracking reference frame and surgical field. (D) Real-time navigation display showing the position and orientation of the surgical instrument relative to the anatomical structures. (E) Close-up view of real-time instrument localization during navigation-guided osteotomy. (F) Resected osteoma specimen. Please click here to view a larger version of this figure.

Figure 9: Comparison of preoperative and postoperative computed tomography images and reconstructed three-dimensional models. (A) Preoperative two-dimensional (2D) computed tomography (CT) image showing the condylar osteoma. (B) Preoperative three-dimensional (3D) reconstructed mandibular model. (C) Postoperative 2D CT image obtained after osteoma resection. (D) Postoperative 3D reconstructed mandibular model. The red arrows indicate the location of the osteoma or the corresponding postoperative resection region. Please click here to view a larger version of this figure.

Figure 10: Three-dimensional color-coded surface-deviation analysis between the preoperative virtual surgical plan and postoperative reconstructed model. (A,B) Color-coded surface-deviation maps demonstrating the spatial distribution of discrepancies between the planned and postoperative surfaces. (C) Distribution of surface deviations. The predefined tolerance interval was ±0.25 mm, within which 30.12% of the analyzed surface points were located. (D) Quantitative statistics of the surface-deviation analysis, showing a mean signed deviation of −0.285 mm, standard deviation of 0.757 mm, and root-mean-square deviation of 0.809 mm. Local deviations ranged from −3.225 mm to +3.124 mm. Please click here to view a larger version of this figure.